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Finding the Third Proportional to 49,932 and 109,674

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Solution

The third proportional to 49,932 and 109,674 is: 240,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,932 : 109,674 = 109,674 : x
  2. Step 2: Convert to fraction form
    49,932/109,674 = 109,674/x
  3. Step 3: Cross multiply
    49,932x = 109,674 × 109,674
  4. Step 4: Simplify right side
    49,932x = 12,028,386,276
  5. Step 5: Solve for x
    x = 12,028,386,276/49,932
  6. Step 6: Final answer
    x = 240,895.34

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