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Finding the Third Proportional to 49,364 and 108,612

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Solution

The third proportional to 49,364 and 108,612 is: 238,971.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,364 : 108,612 = 108,612 : x
  2. Step 2: Convert to fraction form
    49,364/108,612 = 108,612/x
  3. Step 3: Cross multiply
    49,364x = 108,612 × 108,612
  4. Step 4: Simplify right side
    49,364x = 11,796,566,544
  5. Step 5: Solve for x
    x = 11,796,566,544/49,364
  6. Step 6: Final answer
    x = 238,971.04

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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.