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Finding the Third Proportional to 49,977 and 107,730

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Solution

The third proportional to 49,977 and 107,730 is: 232,221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,977 : 107,730 = 107,730 : x
  2. Step 2: Convert to fraction form
    49,977/107,730 = 107,730/x
  3. Step 3: Cross multiply
    49,977x = 107,730 × 107,730
  4. Step 4: Simplify right side
    49,977x = 11,605,752,900
  5. Step 5: Solve for x
    x = 11,605,752,900/49,977
  6. Step 6: Final answer
    x = 232,221.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.