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Finding the Third Proportional to 119,022 and 179,748

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Solution

The third proportional to 119,022 and 179,748 is: 271,456.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,022 : 179,748 = 179,748 : x
  2. Step 2: Convert to fraction form
    119,022/179,748 = 179,748/x
  3. Step 3: Cross multiply
    119,022x = 179,748 × 179,748
  4. Step 4: Simplify right side
    119,022x = 32,309,343,504
  5. Step 5: Solve for x
    x = 32,309,343,504/119,022
  6. Step 6: Final answer
    x = 271,456.90

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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.