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Finding the Third Proportional to 62,950 and 136,226

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Solution

The third proportional to 62,950 and 136,226 is: 294,797.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,950 : 136,226 = 136,226 : x
  2. Step 2: Convert to fraction form
    62,950/136,226 = 136,226/x
  3. Step 3: Cross multiply
    62,950x = 136,226 × 136,226
  4. Step 4: Simplify right side
    62,950x = 18,557,523,076
  5. Step 5: Solve for x
    x = 18,557,523,076/62,950
  6. Step 6: Final answer
    x = 294,797.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.