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Finding the Third Proportional to 49,432 and 108,706

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Solution

The third proportional to 49,432 and 108,706 is: 239,055.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,432 : 108,706 = 108,706 : x
  2. Step 2: Convert to fraction form
    49,432/108,706 = 108,706/x
  3. Step 3: Cross multiply
    49,432x = 108,706 × 108,706
  4. Step 4: Simplify right side
    49,432x = 11,816,994,436
  5. Step 5: Solve for x
    x = 11,816,994,436/49,432
  6. Step 6: Final answer
    x = 239,055.56

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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.