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Finding the Third Proportional to 119,940 and 175,302

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Solution

The third proportional to 119,940 and 175,302 is: 256,218.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,940 : 175,302 = 175,302 : x
  2. Step 2: Convert to fraction form
    119,940/175,302 = 175,302/x
  3. Step 3: Cross multiply
    119,940x = 175,302 × 175,302
  4. Step 4: Simplify right side
    119,940x = 30,730,791,204
  5. Step 5: Solve for x
    x = 30,730,791,204/119,940
  6. Step 6: Final answer
    x = 256,218.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.