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Finding the Third Proportional to 119,686 and 185,849

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Solution

The third proportional to 119,686 and 185,849 is: 288,587.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,686 : 185,849 = 185,849 : x
  2. Step 2: Convert to fraction form
    119,686/185,849 = 185,849/x
  3. Step 3: Cross multiply
    119,686x = 185,849 × 185,849
  4. Step 4: Simplify right side
    119,686x = 34,539,850,801
  5. Step 5: Solve for x
    x = 34,539,850,801/119,686
  6. Step 6: Final answer
    x = 288,587.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.