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Finding the Third Proportional to 127,060 and 270,554

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Solution

The third proportional to 127,060 and 270,554 is: 576,101.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,060 : 270,554 = 270,554 : x
  2. Step 2: Convert to fraction form
    127,060/270,554 = 270,554/x
  3. Step 3: Cross multiply
    127,060x = 270,554 × 270,554
  4. Step 4: Simplify right side
    127,060x = 73,199,466,916
  5. Step 5: Solve for x
    x = 73,199,466,916/127,060
  6. Step 6: Final answer
    x = 576,101.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.