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Finding the Third Proportional to 40,419 and 88,782

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Solution

The third proportional to 40,419 and 88,782 is: 195,013.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,419 : 88,782 = 88,782 : x
  2. Step 2: Convert to fraction form
    40,419/88,782 = 88,782/x
  3. Step 3: Cross multiply
    40,419x = 88,782 × 88,782
  4. Step 4: Simplify right side
    40,419x = 7,882,243,524
  5. Step 5: Solve for x
    x = 7,882,243,524/40,419
  6. Step 6: Final answer
    x = 195,013.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.