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Finding the Third Proportional to 41,578 and 85,604

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Solution

The third proportional to 41,578 and 85,604 is: 176,248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,578 : 85,604 = 85,604 : x
  2. Step 2: Convert to fraction form
    41,578/85,604 = 85,604/x
  3. Step 3: Cross multiply
    41,578x = 85,604 × 85,604
  4. Step 4: Simplify right side
    41,578x = 7,328,044,816
  5. Step 5: Solve for x
    x = 7,328,044,816/41,578
  6. Step 6: Final answer
    x = 176,248.13

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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.