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Finding the Third Proportional to 81,642 and 124,895

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Solution

The third proportional to 81,642 and 124,895 is: 191,062.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,642 : 124,895 = 124,895 : x
  2. Step 2: Convert to fraction form
    81,642/124,895 = 124,895/x
  3. Step 3: Cross multiply
    81,642x = 124,895 × 124,895
  4. Step 4: Simplify right side
    81,642x = 15,598,761,025
  5. Step 5: Solve for x
    x = 15,598,761,025/81,642
  6. Step 6: Final answer
    x = 191,062.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.