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Finding the Third Proportional to 59,540 and 80,858

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Solution

The third proportional to 59,540 and 80,858 is: 109,808.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,540 : 80,858 = 80,858 : x
  2. Step 2: Convert to fraction form
    59,540/80,858 = 80,858/x
  3. Step 3: Cross multiply
    59,540x = 80,858 × 80,858
  4. Step 4: Simplify right side
    59,540x = 6,538,016,164
  5. Step 5: Solve for x
    x = 6,538,016,164/59,540
  6. Step 6: Final answer
    x = 109,808.80

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Why These Related Problems?

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