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Finding the Third Proportional to 127,517 and 187,747

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Solution

The third proportional to 127,517 and 187,747 is: 276,425.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,517 : 187,747 = 187,747 : x
  2. Step 2: Convert to fraction form
    127,517/187,747 = 187,747/x
  3. Step 3: Cross multiply
    127,517x = 187,747 × 187,747
  4. Step 4: Simplify right side
    127,517x = 35,248,936,009
  5. Step 5: Solve for x
    x = 35,248,936,009/127,517
  6. Step 6: Final answer
    x = 276,425.39

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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.