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Finding the Third Proportional to 40,214 and 87,884

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Solution

The third proportional to 40,214 and 87,884 is: 192,062.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,214 : 87,884 = 87,884 : x
  2. Step 2: Convert to fraction form
    40,214/87,884 = 87,884/x
  3. Step 3: Cross multiply
    40,214x = 87,884 × 87,884
  4. Step 4: Simplify right side
    40,214x = 7,723,597,456
  5. Step 5: Solve for x
    x = 7,723,597,456/40,214
  6. Step 6: Final answer
    x = 192,062.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.