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Finding the Third Proportional to 57,272 and 86,014

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Solution

The third proportional to 57,272 and 86,014 is: 129,180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,272 : 86,014 = 86,014 : x
  2. Step 2: Convert to fraction form
    57,272/86,014 = 86,014/x
  3. Step 3: Cross multiply
    57,272x = 86,014 × 86,014
  4. Step 4: Simplify right side
    57,272x = 7,398,408,196
  5. Step 5: Solve for x
    x = 7,398,408,196/57,272
  6. Step 6: Final answer
    x = 129,180.20

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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.