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Finding the Third Proportional to 54,732.38 and 83,202.75

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Solution

The third proportional to 54,732.38 and 83,202.75 is: 126,482.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,732.38 : 83,202.75 = 83,202.75 : x
  2. Step 2: Convert to fraction form
    54,732.38/83,202.75 = 83,202.75/x
  3. Step 3: Cross multiply
    54,732.38x = 83,202.75 × 83,202.75
  4. Step 4: Simplify right side
    54,732.38x = 6,922,697,607.56
  5. Step 5: Solve for x
    x = 6,922,697,607.56/54,732.38
  6. Step 6: Final answer
    x = 126,482.68

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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.