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Finding the Third Proportional to 59,454 and 80,979.75

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Solution

The third proportional to 59,454 and 80,979.75 is: 110,299.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,454 : 80,979.75 = 80,979.75 : x
  2. Step 2: Convert to fraction form
    59,454/80,979.75 = 80,979.75/x
  3. Step 3: Cross multiply
    59,454x = 80,979.75 × 80,979.75
  4. Step 4: Simplify right side
    59,454x = 6,557,719,910.06
  5. Step 5: Solve for x
    x = 6,557,719,910.06/59,454
  6. Step 6: Final answer
    x = 110,299.05

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.