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Finding the Third Proportional to 87,012 and 130,761

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Solution

The third proportional to 87,012 and 130,761 is: 196,506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,012 : 130,761 = 130,761 : x
  2. Step 2: Convert to fraction form
    87,012/130,761 = 130,761/x
  3. Step 3: Cross multiply
    87,012x = 130,761 × 130,761
  4. Step 4: Simplify right side
    87,012x = 17,098,439,121
  5. Step 5: Solve for x
    x = 17,098,439,121/87,012
  6. Step 6: Final answer
    x = 196,506.68

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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.