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Finding the Third Proportional to 31,908 and 67,338

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Solution

The third proportional to 31,908 and 67,338 is: 142,108.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,908 : 67,338 = 67,338 : x
  2. Step 2: Convert to fraction form
    31,908/67,338 = 67,338/x
  3. Step 3: Cross multiply
    31,908x = 67,338 × 67,338
  4. Step 4: Simplify right side
    31,908x = 4,534,406,244
  5. Step 5: Solve for x
    x = 4,534,406,244/31,908
  6. Step 6: Final answer
    x = 142,108.76

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.