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Finding the Third Proportional to 54,148.50 and 83,338.88

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Solution

The third proportional to 54,148.50 and 83,338.88 is: 128,265.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,148.50 : 83,338.88 = 83,338.88 : x
  2. Step 2: Convert to fraction form
    54,148.50/83,338.88 = 83,338.88/x
  3. Step 3: Cross multiply
    54,148.50x = 83,338.88 × 83,338.88
  4. Step 4: Simplify right side
    54,148.50x = 6,945,368,086.27
  5. Step 5: Solve for x
    x = 6,945,368,086.27/54,148.50
  6. Step 6: Final answer
    x = 128,265.20

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