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Finding the Third Proportional to 127,832 and 272,068

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Solution

The third proportional to 127,832 and 272,068 is: 579,049.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,832 : 272,068 = 272,068 : x
  2. Step 2: Convert to fraction form
    127,832/272,068 = 272,068/x
  3. Step 3: Cross multiply
    127,832x = 272,068 × 272,068
  4. Step 4: Simplify right side
    127,832x = 74,020,996,624
  5. Step 5: Solve for x
    x = 74,020,996,624/127,832
  6. Step 6: Final answer
    x = 579,049.04

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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.