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Finding the Third Proportional to 57,753.69 and 86,395.50

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Solution

The third proportional to 57,753.69 and 86,395.50 is: 129,241.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,753.69 : 86,395.50 = 86,395.50 : x
  2. Step 2: Convert to fraction form
    57,753.69/86,395.50 = 86,395.50/x
  3. Step 3: Cross multiply
    57,753.69x = 86,395.50 × 86,395.50
  4. Step 4: Simplify right side
    57,753.69x = 7,464,182,420.25
  5. Step 5: Solve for x
    x = 7,464,182,420.25/57,753.69
  6. Step 6: Final answer
    x = 129,241.66

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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.