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Finding the Third Proportional to 54,359.25 and 86,480.25

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Solution

The third proportional to 54,359.25 and 86,480.25 is: 137,581.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,359.25 : 86,480.25 = 86,480.25 : x
  2. Step 2: Convert to fraction form
    54,359.25/86,480.25 = 86,480.25/x
  3. Step 3: Cross multiply
    54,359.25x = 86,480.25 × 86,480.25
  4. Step 4: Simplify right side
    54,359.25x = 7,478,833,640.06
  5. Step 5: Solve for x
    x = 7,478,833,640.06/54,359.25
  6. Step 6: Final answer
    x = 137,581.62

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.