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Finding the Third Proportional to 81,010.13 and 126,633.38

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Solution

The third proportional to 81,010.13 and 126,633.38 is: 197,950.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,010.13 : 126,633.38 = 126,633.38 : x
  2. Step 2: Convert to fraction form
    81,010.13/126,633.38 = 126,633.38/x
  3. Step 3: Cross multiply
    81,010.13x = 126,633.38 × 126,633.38
  4. Step 4: Simplify right side
    81,010.13x = 16,036,011,663.89
  5. Step 5: Solve for x
    x = 16,036,011,663.89/81,010.13
  6. Step 6: Final answer
    x = 197,950.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.