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Finding the Third Proportional to 71,016.75 and 106,836.47

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Solution

The third proportional to 71,016.75 and 106,836.47 is: 160,723.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,016.75 : 106,836.47 = 106,836.47 : x
  2. Step 2: Convert to fraction form
    71,016.75/106,836.47 = 106,836.47/x
  3. Step 3: Cross multiply
    71,016.75x = 106,836.47 × 106,836.47
  4. Step 4: Simplify right side
    71,016.75x = 11,414,031,054.97
  5. Step 5: Solve for x
    x = 11,414,031,054.97/71,016.75
  6. Step 6: Final answer
    x = 160,723.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.