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Finding the Third Proportional to 87,102 and 127,294

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Solution

The third proportional to 87,102 and 127,294 is: 186,032.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,102 : 127,294 = 127,294 : x
  2. Step 2: Convert to fraction form
    87,102/127,294 = 127,294/x
  3. Step 3: Cross multiply
    87,102x = 127,294 × 127,294
  4. Step 4: Simplify right side
    87,102x = 16,203,762,436
  5. Step 5: Solve for x
    x = 16,203,762,436/87,102
  6. Step 6: Final answer
    x = 186,032.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.