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Finding the Third Proportional to 87,541 and 127,483

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Solution

The third proportional to 87,541 and 127,483 is: 185,649.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,541 : 127,483 = 127,483 : x
  2. Step 2: Convert to fraction form
    87,541/127,483 = 127,483/x
  3. Step 3: Cross multiply
    87,541x = 127,483 × 127,483
  4. Step 4: Simplify right side
    87,541x = 16,251,915,289
  5. Step 5: Solve for x
    x = 16,251,915,289/87,541
  6. Step 6: Final answer
    x = 185,649.18

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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.