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Finding the Third Proportional to 82,950 and 125,961

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Solution

The third proportional to 82,950 and 125,961 is: 191,273.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,950 : 125,961 = 125,961 : x
  2. Step 2: Convert to fraction form
    82,950/125,961 = 125,961/x
  3. Step 3: Cross multiply
    82,950x = 125,961 × 125,961
  4. Step 4: Simplify right side
    82,950x = 15,866,173,521
  5. Step 5: Solve for x
    x = 15,866,173,521/82,950
  6. Step 6: Final answer
    x = 191,273.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.