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Finding the Third Proportional to 90,878 and 137,950

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Solution

The third proportional to 90,878 and 137,950 is: 209,403.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,878 : 137,950 = 137,950 : x
  2. Step 2: Convert to fraction form
    90,878/137,950 = 137,950/x
  3. Step 3: Cross multiply
    90,878x = 137,950 × 137,950
  4. Step 4: Simplify right side
    90,878x = 19,030,202,500
  5. Step 5: Solve for x
    x = 19,030,202,500/90,878
  6. Step 6: Final answer
    x = 209,403.84

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.