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Finding the Third Proportional to 87,102 and 127,292

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Solution

The third proportional to 87,102 and 127,292 is: 186,026.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,102 : 127,292 = 127,292 : x
  2. Step 2: Convert to fraction form
    87,102/127,292 = 127,292/x
  3. Step 3: Cross multiply
    87,102x = 127,292 × 127,292
  4. Step 4: Simplify right side
    87,102x = 16,203,253,264
  5. Step 5: Solve for x
    x = 16,203,253,264/87,102
  6. Step 6: Final answer
    x = 186,026.19

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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.