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Finding the Third Proportional to 83,227.50 and 127,635.75

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Solution

The third proportional to 83,227.50 and 127,635.75 is: 195,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,227.50 : 127,635.75 = 127,635.75 : x
  2. Step 2: Convert to fraction form
    83,227.50/127,635.75 = 127,635.75/x
  3. Step 3: Cross multiply
    83,227.50x = 127,635.75 × 127,635.75
  4. Step 4: Simplify right side
    83,227.50x = 16,290,884,678.06
  5. Step 5: Solve for x
    x = 16,290,884,678.06/83,227.50
  6. Step 6: Final answer
    x = 195,739.20

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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.