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Finding the Third Proportional to 57,331 and 86,861.50

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Solution

The third proportional to 57,331 and 86,861.50 is: 131,602.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,331 : 86,861.50 = 86,861.50 : x
  2. Step 2: Convert to fraction form
    57,331/86,861.50 = 86,861.50/x
  3. Step 3: Cross multiply
    57,331x = 86,861.50 × 86,861.50
  4. Step 4: Simplify right side
    57,331x = 7,544,920,182.25
  5. Step 5: Solve for x
    x = 7,544,920,182.25/57,331
  6. Step 6: Final answer
    x = 131,602.80

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.