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Finding the Third Proportional to 59,479.50 and 80,741

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Solution

The third proportional to 59,479.50 and 80,741 is: 109,602.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,479.50 : 80,741 = 80,741 : x
  2. Step 2: Convert to fraction form
    59,479.50/80,741 = 80,741/x
  3. Step 3: Cross multiply
    59,479.50x = 80,741 × 80,741
  4. Step 4: Simplify right side
    59,479.50x = 6,519,109,081
  5. Step 5: Solve for x
    x = 6,519,109,081/59,479.50
  6. Step 6: Final answer
    x = 109,602.62

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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.