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Finding the Third Proportional to 57,874.50 and 87,428.25

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Solution

The third proportional to 57,874.50 and 87,428.25 is: 132,073.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,874.50 : 87,428.25 = 87,428.25 : x
  2. Step 2: Convert to fraction form
    57,874.50/87,428.25 = 87,428.25/x
  3. Step 3: Cross multiply
    57,874.50x = 87,428.25 × 87,428.25
  4. Step 4: Simplify right side
    57,874.50x = 7,643,698,898.06
  5. Step 5: Solve for x
    x = 7,643,698,898.06/57,874.50
  6. Step 6: Final answer
    x = 132,073.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.