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Finding the Third Proportional to 41,778 and 85,594

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Solution

The third proportional to 41,778 and 85,594 is: 175,363.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,778 : 85,594 = 85,594 : x
  2. Step 2: Convert to fraction form
    41,778/85,594 = 85,594/x
  3. Step 3: Cross multiply
    41,778x = 85,594 × 85,594
  4. Step 4: Simplify right side
    41,778x = 7,326,332,836
  5. Step 5: Solve for x
    x = 7,326,332,836/41,778
  6. Step 6: Final answer
    x = 175,363.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.