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Finding the Third Proportional to 52,539.75 and 81,487.69

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Solution

The third proportional to 52,539.75 and 81,487.69 is: 126,385.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,539.75 : 81,487.69 = 81,487.69 : x
  2. Step 2: Convert to fraction form
    52,539.75/81,487.69 = 81,487.69/x
  3. Step 3: Cross multiply
    52,539.75x = 81,487.69 × 81,487.69
  4. Step 4: Simplify right side
    52,539.75x = 6,640,243,214.10
  5. Step 5: Solve for x
    x = 6,640,243,214.10/52,539.75
  6. Step 6: Final answer
    x = 126,385.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.