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Finding the Third Proportional to 87,186 and 122,772

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Solution

The third proportional to 87,186 and 122,772 is: 172,882.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,186 : 122,772 = 122,772 : x
  2. Step 2: Convert to fraction form
    87,186/122,772 = 122,772/x
  3. Step 3: Cross multiply
    87,186x = 122,772 × 122,772
  4. Step 4: Simplify right side
    87,186x = 15,072,963,984
  5. Step 5: Solve for x
    x = 15,072,963,984/87,186
  6. Step 6: Final answer
    x = 172,882.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.