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Finding the Third Proportional to 62,865 and 136,962

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Solution

The third proportional to 62,865 and 136,962 is: 298,394.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,865 : 136,962 = 136,962 : x
  2. Step 2: Convert to fraction form
    62,865/136,962 = 136,962/x
  3. Step 3: Cross multiply
    62,865x = 136,962 × 136,962
  4. Step 4: Simplify right side
    62,865x = 18,758,589,444
  5. Step 5: Solve for x
    x = 18,758,589,444/62,865
  6. Step 6: Final answer
    x = 298,394.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.