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Finding the Third Proportional to 75,029.88 and 114,450.25

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Solution

The third proportional to 75,029.88 and 114,450.25 is: 174,581.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,029.88 : 114,450.25 = 114,450.25 : x
  2. Step 2: Convert to fraction form
    75,029.88/114,450.25 = 114,450.25/x
  3. Step 3: Cross multiply
    75,029.88x = 114,450.25 × 114,450.25
  4. Step 4: Simplify right side
    75,029.88x = 13,098,859,725.06
  5. Step 5: Solve for x
    x = 13,098,859,725.06/75,029.88
  6. Step 6: Final answer
    x = 174,581.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.