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Finding the Third Proportional to 40,220 and 85,782

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Solution

The third proportional to 40,220 and 85,782 is: 182,957.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,220 : 85,782 = 85,782 : x
  2. Step 2: Convert to fraction form
    40,220/85,782 = 85,782/x
  3. Step 3: Cross multiply
    40,220x = 85,782 × 85,782
  4. Step 4: Simplify right side
    40,220x = 7,358,551,524
  5. Step 5: Solve for x
    x = 7,358,551,524/40,220
  6. Step 6: Final answer
    x = 182,957.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.