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Finding the Third Proportional to 121,166 and 185,982

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Solution

The third proportional to 121,166 and 185,982 is: 285,470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,166 : 185,982 = 185,982 : x
  2. Step 2: Convert to fraction form
    121,166/185,982 = 185,982/x
  3. Step 3: Cross multiply
    121,166x = 185,982 × 185,982
  4. Step 4: Simplify right side
    121,166x = 34,589,304,324
  5. Step 5: Solve for x
    x = 34,589,304,324/121,166
  6. Step 6: Final answer
    x = 285,470.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.