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Finding the Third Proportional to 54,270 and 82,488.38

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Solution

The third proportional to 54,270 and 82,488.38 is: 125,379.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,270 : 82,488.38 = 82,488.38 : x
  2. Step 2: Convert to fraction form
    54,270/82,488.38 = 82,488.38/x
  3. Step 3: Cross multiply
    54,270x = 82,488.38 × 82,488.38
  4. Step 4: Simplify right side
    54,270x = 6,804,332,010.14
  5. Step 5: Solve for x
    x = 6,804,332,010.14/54,270
  6. Step 6: Final answer
    x = 125,379.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.