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Finding the Third Proportional to 76,452 and 162,192

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Solution

The third proportional to 76,452 and 162,192 is: 344,088.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,452 : 162,192 = 162,192 : x
  2. Step 2: Convert to fraction form
    76,452/162,192 = 162,192/x
  3. Step 3: Cross multiply
    76,452x = 162,192 × 162,192
  4. Step 4: Simplify right side
    76,452x = 26,306,244,864
  5. Step 5: Solve for x
    x = 26,306,244,864/76,452
  6. Step 6: Final answer
    x = 344,088.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.