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Finding the Third Proportional to 119,180 and 185,805

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Solution

The third proportional to 119,180 and 185,805 is: 289,675.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,180 : 185,805 = 185,805 : x
  2. Step 2: Convert to fraction form
    119,180/185,805 = 185,805/x
  3. Step 3: Cross multiply
    119,180x = 185,805 × 185,805
  4. Step 4: Simplify right side
    119,180x = 34,523,498,025
  5. Step 5: Solve for x
    x = 34,523,498,025/119,180
  6. Step 6: Final answer
    x = 289,675.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.