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Finding the Third Proportional to 54,549.75 and 86,748

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Solution

The third proportional to 54,549.75 and 86,748 is: 137,951.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,549.75 : 86,748 = 86,748 : x
  2. Step 2: Convert to fraction form
    54,549.75/86,748 = 86,748/x
  3. Step 3: Cross multiply
    54,549.75x = 86,748 × 86,748
  4. Step 4: Simplify right side
    54,549.75x = 7,525,215,504
  5. Step 5: Solve for x
    x = 7,525,215,504/54,549.75
  6. Step 6: Final answer
    x = 137,951.42

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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.