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Finding the Third Proportional to 127,374 and 269,919

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Solution

The third proportional to 127,374 and 269,919 is: 571,986.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,374 : 269,919 = 269,919 : x
  2. Step 2: Convert to fraction form
    127,374/269,919 = 269,919/x
  3. Step 3: Cross multiply
    127,374x = 269,919 × 269,919
  4. Step 4: Simplify right side
    127,374x = 72,856,266,561
  5. Step 5: Solve for x
    x = 72,856,266,561/127,374
  6. Step 6: Final answer
    x = 571,986.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.