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Finding the Third Proportional to 127,724 and 187,874

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Solution

The third proportional to 127,724 and 187,874 is: 276,350.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,724 : 187,874 = 187,874 : x
  2. Step 2: Convert to fraction form
    127,724/187,874 = 187,874/x
  3. Step 3: Cross multiply
    127,724x = 187,874 × 187,874
  4. Step 4: Simplify right side
    127,724x = 35,296,639,876
  5. Step 5: Solve for x
    x = 35,296,639,876/127,724
  6. Step 6: Final answer
    x = 276,350.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.