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Finding the Third Proportional to 49,890 and 108,508

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Solution

The third proportional to 49,890 and 108,508 is: 235,998.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,890 : 108,508 = 108,508 : x
  2. Step 2: Convert to fraction form
    49,890/108,508 = 108,508/x
  3. Step 3: Cross multiply
    49,890x = 108,508 × 108,508
  4. Step 4: Simplify right side
    49,890x = 11,773,986,064
  5. Step 5: Solve for x
    x = 11,773,986,064/49,890
  6. Step 6: Final answer
    x = 235,998.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.