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Finding the Third Proportional to 75,648.75 and 100,351.13

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Solution

The third proportional to 75,648.75 and 100,351.13 is: 133,119.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,648.75 : 100,351.13 = 100,351.13 : x
  2. Step 2: Convert to fraction form
    75,648.75/100,351.13 = 100,351.13/x
  3. Step 3: Cross multiply
    75,648.75x = 100,351.13 × 100,351.13
  4. Step 4: Simplify right side
    75,648.75x = 10,070,348,288.77
  5. Step 5: Solve for x
    x = 10,070,348,288.77/75,648.75
  6. Step 6: Final answer
    x = 133,119.82

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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.