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Finding the Third Proportional to 49,251 and 108,870

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Solution

The third proportional to 49,251 and 108,870 is: 240,658.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,251 : 108,870 = 108,870 : x
  2. Step 2: Convert to fraction form
    49,251/108,870 = 108,870/x
  3. Step 3: Cross multiply
    49,251x = 108,870 × 108,870
  4. Step 4: Simplify right side
    49,251x = 11,852,676,900
  5. Step 5: Solve for x
    x = 11,852,676,900/49,251
  6. Step 6: Final answer
    x = 240,658.60

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