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Finding the Third Proportional to 85,930.88 and 129,853.13

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Solution

The third proportional to 85,930.88 and 129,853.13 is: 196,225.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,930.88 : 129,853.13 = 129,853.13 : x
  2. Step 2: Convert to fraction form
    85,930.88/129,853.13 = 129,853.13/x
  3. Step 3: Cross multiply
    85,930.88x = 129,853.13 × 129,853.13
  4. Step 4: Simplify right side
    85,930.88x = 16,861,834,072.27
  5. Step 5: Solve for x
    x = 16,861,834,072.27/85,930.88
  6. Step 6: Final answer
    x = 196,225.56

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Why These Related Problems?

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