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Finding the Third Proportional to 75,178.88 and 100,329.75

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Solution

The third proportional to 75,178.88 and 100,329.75 is: 133,894.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,178.88 : 100,329.75 = 100,329.75 : x
  2. Step 2: Convert to fraction form
    75,178.88/100,329.75 = 100,329.75/x
  3. Step 3: Cross multiply
    75,178.88x = 100,329.75 × 100,329.75
  4. Step 4: Simplify right side
    75,178.88x = 10,066,058,735.06
  5. Step 5: Solve for x
    x = 10,066,058,735.06/75,178.88
  6. Step 6: Final answer
    x = 133,894.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.