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Finding the Third Proportional to 49,606 and 109,040

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Solution

The third proportional to 49,606 and 109,040 is: 239,683.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,606 : 109,040 = 109,040 : x
  2. Step 2: Convert to fraction form
    49,606/109,040 = 109,040/x
  3. Step 3: Cross multiply
    49,606x = 109,040 × 109,040
  4. Step 4: Simplify right side
    49,606x = 11,889,721,600
  5. Step 5: Solve for x
    x = 11,889,721,600/49,606
  6. Step 6: Final answer
    x = 239,683.14

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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.