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Finding the Third Proportional to 57,848 and 87,500

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Solution

The third proportional to 57,848 and 87,500 is: 132,351.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,848 : 87,500 = 87,500 : x
  2. Step 2: Convert to fraction form
    57,848/87,500 = 87,500/x
  3. Step 3: Cross multiply
    57,848x = 87,500 × 87,500
  4. Step 4: Simplify right side
    57,848x = 7,656,250,000
  5. Step 5: Solve for x
    x = 7,656,250,000/57,848
  6. Step 6: Final answer
    x = 132,351.16

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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.