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Finding the Third Proportional to 88,179 and 193,782

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Solution

The third proportional to 88,179 and 193,782 is: 425,854.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,179 : 193,782 = 193,782 : x
  2. Step 2: Convert to fraction form
    88,179/193,782 = 193,782/x
  3. Step 3: Cross multiply
    88,179x = 193,782 × 193,782
  4. Step 4: Simplify right side
    88,179x = 37,551,463,524
  5. Step 5: Solve for x
    x = 37,551,463,524/88,179
  6. Step 6: Final answer
    x = 425,854.95

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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.