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Finding the Third Proportional to 54,037.97 and 86,327.02

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Solution

The third proportional to 54,037.97 and 86,327.02 is: 137,909.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,037.97 : 86,327.02 = 86,327.02 : x
  2. Step 2: Convert to fraction form
    54,037.97/86,327.02 = 86,327.02/x
  3. Step 3: Cross multiply
    54,037.97x = 86,327.02 × 86,327.02
  4. Step 4: Simplify right side
    54,037.97x = 7,452,353,626.72
  5. Step 5: Solve for x
    x = 7,452,353,626.72/54,037.97
  6. Step 6: Final answer
    x = 137,909.58

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.