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Finding the Third Proportional to 61,958 and 131,908

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Solution

The third proportional to 61,958 and 131,908 is: 280,830.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,958 : 131,908 = 131,908 : x
  2. Step 2: Convert to fraction form
    61,958/131,908 = 131,908/x
  3. Step 3: Cross multiply
    61,958x = 131,908 × 131,908
  4. Step 4: Simplify right side
    61,958x = 17,399,720,464
  5. Step 5: Solve for x
    x = 17,399,720,464/61,958
  6. Step 6: Final answer
    x = 280,830.89

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.