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Finding the Third Proportional to 42,779 and 99,950

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Solution

The third proportional to 42,779 and 99,950 is: 233,525.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,779 : 99,950 = 99,950 : x
  2. Step 2: Convert to fraction form
    42,779/99,950 = 99,950/x
  3. Step 3: Cross multiply
    42,779x = 99,950 × 99,950
  4. Step 4: Simplify right side
    42,779x = 9,990,002,500
  5. Step 5: Solve for x
    x = 9,990,002,500/42,779
  6. Step 6: Final answer
    x = 233,525.85

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.