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Finding the Third Proportional to 54,412.13 and 77,061.94

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Solution

The third proportional to 54,412.13 and 77,061.94 is: 109,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,412.13 : 77,061.94 = 77,061.94 : x
  2. Step 2: Convert to fraction form
    54,412.13/77,061.94 = 77,061.94/x
  3. Step 3: Cross multiply
    54,412.13x = 77,061.94 × 77,061.94
  4. Step 4: Simplify right side
    54,412.13x = 5,938,542,211.25
  5. Step 5: Solve for x
    x = 5,938,542,211.25/54,412.13
  6. Step 6: Final answer
    x = 109,140.05

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.