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Finding the Third Proportional to 49,351 and 108,543

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Solution

The third proportional to 49,351 and 108,543 is: 238,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,351 : 108,543 = 108,543 : x
  2. Step 2: Convert to fraction form
    49,351/108,543 = 108,543/x
  3. Step 3: Cross multiply
    49,351x = 108,543 × 108,543
  4. Step 4: Simplify right side
    49,351x = 11,781,582,849
  5. Step 5: Solve for x
    x = 11,781,582,849/49,351
  6. Step 6: Final answer
    x = 238,730.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.