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Finding the Third Proportional to 31,385 and 68,990

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Solution

The third proportional to 31,385 and 68,990 is: 151,652.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,385 : 68,990 = 68,990 : x
  2. Step 2: Convert to fraction form
    31,385/68,990 = 68,990/x
  3. Step 3: Cross multiply
    31,385x = 68,990 × 68,990
  4. Step 4: Simplify right side
    31,385x = 4,759,620,100
  5. Step 5: Solve for x
    x = 4,759,620,100/31,385
  6. Step 6: Final answer
    x = 151,652.70

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