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Finding the Third Proportional to 123,476 and 272,654

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Solution

The third proportional to 123,476 and 272,654 is: 602,061.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,476 : 272,654 = 272,654 : x
  2. Step 2: Convert to fraction form
    123,476/272,654 = 272,654/x
  3. Step 3: Cross multiply
    123,476x = 272,654 × 272,654
  4. Step 4: Simplify right side
    123,476x = 74,340,203,716
  5. Step 5: Solve for x
    x = 74,340,203,716/123,476
  6. Step 6: Final answer
    x = 602,061.97

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.