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Finding the Third Proportional to 119,940 and 176,022

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Solution

The third proportional to 119,940 and 176,022 is: 258,327.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,940 : 176,022 = 176,022 : x
  2. Step 2: Convert to fraction form
    119,940/176,022 = 176,022/x
  3. Step 3: Cross multiply
    119,940x = 176,022 × 176,022
  4. Step 4: Simplify right side
    119,940x = 30,983,744,484
  5. Step 5: Solve for x
    x = 30,983,744,484/119,940
  6. Step 6: Final answer
    x = 258,327.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.