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Finding the Third Proportional to 54,273.38 and 83,472.19

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Solution

The third proportional to 54,273.38 and 83,472.19 is: 128,379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,273.38 : 83,472.19 = 83,472.19 : x
  2. Step 2: Convert to fraction form
    54,273.38/83,472.19 = 83,472.19/x
  3. Step 3: Cross multiply
    54,273.38x = 83,472.19 × 83,472.19
  4. Step 4: Simplify right side
    54,273.38x = 6,967,606,086.04
  5. Step 5: Solve for x
    x = 6,967,606,086.04/54,273.38
  6. Step 6: Final answer
    x = 128,379.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.