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Finding the Third Proportional to 119,734 and 159,770

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Solution

The third proportional to 119,734 and 159,770 is: 213,193.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,734 : 159,770 = 159,770 : x
  2. Step 2: Convert to fraction form
    119,734/159,770 = 159,770/x
  3. Step 3: Cross multiply
    119,734x = 159,770 × 159,770
  4. Step 4: Simplify right side
    119,734x = 25,526,452,900
  5. Step 5: Solve for x
    x = 25,526,452,900/119,734
  6. Step 6: Final answer
    x = 213,193.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.