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Finding the Third Proportional to 85,384.13 and 146,711.25

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Solution

The third proportional to 85,384.13 and 146,711.25 is: 252,086.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,384.13 : 146,711.25 = 146,711.25 : x
  2. Step 2: Convert to fraction form
    85,384.13/146,711.25 = 146,711.25/x
  3. Step 3: Cross multiply
    85,384.13x = 146,711.25 × 146,711.25
  4. Step 4: Simplify right side
    85,384.13x = 21,524,190,876.56
  5. Step 5: Solve for x
    x = 21,524,190,876.56/85,384.13
  6. Step 6: Final answer
    x = 252,086.57

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.