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Finding the Third Proportional to 127,712 and 273,757

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Solution

The third proportional to 127,712 and 273,757 is: 586,811.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,712 : 273,757 = 273,757 : x
  2. Step 2: Convert to fraction form
    127,712/273,757 = 273,757/x
  3. Step 3: Cross multiply
    127,712x = 273,757 × 273,757
  4. Step 4: Simplify right side
    127,712x = 74,942,895,049
  5. Step 5: Solve for x
    x = 74,942,895,049/127,712
  6. Step 6: Final answer
    x = 586,811.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.