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Finding the Third Proportional to 63,922 and 95,519

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Solution

The third proportional to 63,922 and 95,519 is: 142,734.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,922 : 95,519 = 95,519 : x
  2. Step 2: Convert to fraction form
    63,922/95,519 = 95,519/x
  3. Step 3: Cross multiply
    63,922x = 95,519 × 95,519
  4. Step 4: Simplify right side
    63,922x = 9,123,879,361
  5. Step 5: Solve for x
    x = 9,123,879,361/63,922
  6. Step 6: Final answer
    x = 142,734.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.