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Finding the Third Proportional to 54,062.25 and 86,089.88

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Solution

The third proportional to 54,062.25 and 86,089.88 is: 137,091.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,062.25 : 86,089.88 = 86,089.88 : x
  2. Step 2: Convert to fraction form
    54,062.25/86,089.88 = 86,089.88/x
  3. Step 3: Cross multiply
    54,062.25x = 86,089.88 × 86,089.88
  4. Step 4: Simplify right side
    54,062.25x = 7,411,466,577.52
  5. Step 5: Solve for x
    x = 7,411,466,577.52/54,062.25
  6. Step 6: Final answer
    x = 137,091.35

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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.