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Finding the Third Proportional to 80,950 and 121,966

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Solution

The third proportional to 80,950 and 121,966 is: 183,764.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,950 : 121,966 = 121,966 : x
  2. Step 2: Convert to fraction form
    80,950/121,966 = 121,966/x
  3. Step 3: Cross multiply
    80,950x = 121,966 × 121,966
  4. Step 4: Simplify right side
    80,950x = 14,875,705,156
  5. Step 5: Solve for x
    x = 14,875,705,156/80,950
  6. Step 6: Final answer
    x = 183,764.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.