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Finding the Third Proportional to 57,469.50 and 86,281.50

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Solution

The third proportional to 57,469.50 and 86,281.50 is: 129,538.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,469.50 : 86,281.50 = 86,281.50 : x
  2. Step 2: Convert to fraction form
    57,469.50/86,281.50 = 86,281.50/x
  3. Step 3: Cross multiply
    57,469.50x = 86,281.50 × 86,281.50
  4. Step 4: Simplify right side
    57,469.50x = 7,444,497,242.25
  5. Step 5: Solve for x
    x = 7,444,497,242.25/57,469.50
  6. Step 6: Final answer
    x = 129,538.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.