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Finding the Third Proportional to 41,820 and 85,677

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Solution

The third proportional to 41,820 and 85,677 is: 175,527.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,820 : 85,677 = 85,677 : x
  2. Step 2: Convert to fraction form
    41,820/85,677 = 85,677/x
  3. Step 3: Cross multiply
    41,820x = 85,677 × 85,677
  4. Step 4: Simplify right side
    41,820x = 7,340,548,329
  5. Step 5: Solve for x
    x = 7,340,548,329/41,820
  6. Step 6: Final answer
    x = 175,527.22

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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.