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Finding the Third Proportional to 41,203.69 and 71,426.81

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Solution

The third proportional to 41,203.69 and 71,426.81 is: 123,818.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,203.69 : 71,426.81 = 71,426.81 : x
  2. Step 2: Convert to fraction form
    41,203.69/71,426.81 = 71,426.81/x
  3. Step 3: Cross multiply
    41,203.69x = 71,426.81 × 71,426.81
  4. Step 4: Simplify right side
    41,203.69x = 5,101,789,543.91
  5. Step 5: Solve for x
    x = 5,101,789,543.91/41,203.69
  6. Step 6: Final answer
    x = 123,818.76

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These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.