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Finding the Third Proportional to 41,559 and 85,569

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Solution

The third proportional to 41,559 and 85,569 is: 176,184.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,559 : 85,569 = 85,569 : x
  2. Step 2: Convert to fraction form
    41,559/85,569 = 85,569/x
  3. Step 3: Cross multiply
    41,559x = 85,569 × 85,569
  4. Step 4: Simplify right side
    41,559x = 7,322,053,761
  5. Step 5: Solve for x
    x = 7,322,053,761/41,559
  6. Step 6: Final answer
    x = 176,184.55

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.