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Finding the Third Proportional to 72,416 and 95,448

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Solution

The third proportional to 72,416 and 95,448 is: 125,805.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,416 : 95,448 = 95,448 : x
  2. Step 2: Convert to fraction form
    72,416/95,448 = 95,448/x
  3. Step 3: Cross multiply
    72,416x = 95,448 × 95,448
  4. Step 4: Simplify right side
    72,416x = 9,110,320,704
  5. Step 5: Solve for x
    x = 9,110,320,704/72,416
  6. Step 6: Final answer
    x = 125,805.36

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.