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Finding the Third Proportional to 54,595.13 and 83,620.69

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Solution

The third proportional to 54,595.13 and 83,620.69 is: 128,077.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,595.13 : 83,620.69 = 83,620.69 : x
  2. Step 2: Convert to fraction form
    54,595.13/83,620.69 = 83,620.69/x
  3. Step 3: Cross multiply
    54,595.13x = 83,620.69 × 83,620.69
  4. Step 4: Simplify right side
    54,595.13x = 6,992,419,377.97
  5. Step 5: Solve for x
    x = 6,992,419,377.97/54,595.13
  6. Step 6: Final answer
    x = 128,077.72

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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.