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Finding the Third Proportional to 87,366 and 130,910

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Solution

The third proportional to 87,366 and 130,910 is: 196,156.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,366 : 130,910 = 130,910 : x
  2. Step 2: Convert to fraction form
    87,366/130,910 = 130,910/x
  3. Step 3: Cross multiply
    87,366x = 130,910 × 130,910
  4. Step 4: Simplify right side
    87,366x = 17,137,428,100
  5. Step 5: Solve for x
    x = 17,137,428,100/87,366
  6. Step 6: Final answer
    x = 196,156.72

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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.