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Finding the Third Proportional to 52,069.13 and 77,761.13

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Solution

The third proportional to 52,069.13 and 77,761.13 is: 116,130.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,069.13 : 77,761.13 = 77,761.13 : x
  2. Step 2: Convert to fraction form
    52,069.13/77,761.13 = 77,761.13/x
  3. Step 3: Cross multiply
    52,069.13x = 77,761.13 × 77,761.13
  4. Step 4: Simplify right side
    52,069.13x = 6,046,792,561.27
  5. Step 5: Solve for x
    x = 6,046,792,561.27/52,069.13
  6. Step 6: Final answer
    x = 116,130.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.