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Finding the Third Proportional to 119,474 and 162,352

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Solution

The third proportional to 119,474 and 162,352 is: 220,618.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,474 : 162,352 = 162,352 : x
  2. Step 2: Convert to fraction form
    119,474/162,352 = 162,352/x
  3. Step 3: Cross multiply
    119,474x = 162,352 × 162,352
  4. Step 4: Simplify right side
    119,474x = 26,358,171,904
  5. Step 5: Solve for x
    x = 26,358,171,904/119,474
  6. Step 6: Final answer
    x = 220,618.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.