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Finding the Third Proportional to 124,612 and 273,349

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Solution

The third proportional to 124,612 and 273,349 is: 599,618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,612 : 273,349 = 273,349 : x
  2. Step 2: Convert to fraction form
    124,612/273,349 = 273,349/x
  3. Step 3: Cross multiply
    124,612x = 273,349 × 273,349
  4. Step 4: Simplify right side
    124,612x = 74,719,675,801
  5. Step 5: Solve for x
    x = 74,719,675,801/124,612
  6. Step 6: Final answer
    x = 599,618.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.