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Finding the Third Proportional to 69,016.50 and 103,872

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Solution

The third proportional to 69,016.50 and 103,872 is: 156,330.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,016.50 : 103,872 = 103,872 : x
  2. Step 2: Convert to fraction form
    69,016.50/103,872 = 103,872/x
  3. Step 3: Cross multiply
    69,016.50x = 103,872 × 103,872
  4. Step 4: Simplify right side
    69,016.50x = 10,789,392,384
  5. Step 5: Solve for x
    x = 10,789,392,384/69,016.50
  6. Step 6: Final answer
    x = 156,330.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.