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Finding the Third Proportional to 52,870.13 and 80,979.38

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Solution

The third proportional to 52,870.13 and 80,979.38 is: 124,033.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,870.13 : 80,979.38 = 80,979.38 : x
  2. Step 2: Convert to fraction form
    52,870.13/80,979.38 = 80,979.38/x
  3. Step 3: Cross multiply
    52,870.13x = 80,979.38 × 80,979.38
  4. Step 4: Simplify right side
    52,870.13x = 6,557,659,175.39
  5. Step 5: Solve for x
    x = 6,557,659,175.39/52,870.13
  6. Step 6: Final answer
    x = 124,033.36

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.