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Finding the Third Proportional to 71,965.13 and 108,016.88

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Solution

The third proportional to 71,965.13 and 108,016.88 is: 162,129.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,965.13 : 108,016.88 = 108,016.88 : x
  2. Step 2: Convert to fraction form
    71,965.13/108,016.88 = 108,016.88/x
  3. Step 3: Cross multiply
    71,965.13x = 108,016.88 × 108,016.88
  4. Step 4: Simplify right side
    71,965.13x = 11,667,645,284.77
  5. Step 5: Solve for x
    x = 11,667,645,284.77/71,965.13
  6. Step 6: Final answer
    x = 162,129.16

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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.