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Finding the Third Proportional to 43,948 and 103,700

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Solution

The third proportional to 43,948 and 103,700 is: 244,691.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,948 : 103,700 = 103,700 : x
  2. Step 2: Convert to fraction form
    43,948/103,700 = 103,700/x
  3. Step 3: Cross multiply
    43,948x = 103,700 × 103,700
  4. Step 4: Simplify right side
    43,948x = 10,753,690,000
  5. Step 5: Solve for x
    x = 10,753,690,000/43,948
  6. Step 6: Final answer
    x = 244,691.23

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.