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Finding the Third Proportional to 87,280 and 136,536

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Solution

The third proportional to 87,280 and 136,536 is: 213,589.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,280 : 136,536 = 136,536 : x
  2. Step 2: Convert to fraction form
    87,280/136,536 = 136,536/x
  3. Step 3: Cross multiply
    87,280x = 136,536 × 136,536
  4. Step 4: Simplify right side
    87,280x = 18,642,079,296
  5. Step 5: Solve for x
    x = 18,642,079,296/87,280
  6. Step 6: Final answer
    x = 213,589.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.