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Finding the Third Proportional to 87,147 and 130,374

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Solution

The third proportional to 87,147 and 130,374 is: 195,042.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,147 : 130,374 = 130,374 : x
  2. Step 2: Convert to fraction form
    87,147/130,374 = 130,374/x
  3. Step 3: Cross multiply
    87,147x = 130,374 × 130,374
  4. Step 4: Simplify right side
    87,147x = 16,997,379,876
  5. Step 5: Solve for x
    x = 16,997,379,876/87,147
  6. Step 6: Final answer
    x = 195,042.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.