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Finding the Third Proportional to 85,899.56 and 131,071.13

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Solution

The third proportional to 85,899.56 and 131,071.13 is: 199,996.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,899.56 : 131,071.13 = 131,071.13 : x
  2. Step 2: Convert to fraction form
    85,899.56/131,071.13 = 131,071.13/x
  3. Step 3: Cross multiply
    85,899.56x = 131,071.13 × 131,071.13
  4. Step 4: Simplify right side
    85,899.56x = 17,179,639,808.77
  5. Step 5: Solve for x
    x = 17,179,639,808.77/85,899.56
  6. Step 6: Final answer
    x = 199,996.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.