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Finding the Third Proportional to 49,741 and 108,139

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Solution

The third proportional to 49,741 and 108,139 is: 235,098.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,741 : 108,139 = 108,139 : x
  2. Step 2: Convert to fraction form
    49,741/108,139 = 108,139/x
  3. Step 3: Cross multiply
    49,741x = 108,139 × 108,139
  4. Step 4: Simplify right side
    49,741x = 11,694,043,321
  5. Step 5: Solve for x
    x = 11,694,043,321/49,741
  6. Step 6: Final answer
    x = 235,098.68

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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.