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Finding the Third Proportional to 74,982 and 162,192

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Solution

The third proportional to 74,982 and 162,192 is: 350,834.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,982 : 162,192 = 162,192 : x
  2. Step 2: Convert to fraction form
    74,982/162,192 = 162,192/x
  3. Step 3: Cross multiply
    74,982x = 162,192 × 162,192
  4. Step 4: Simplify right side
    74,982x = 26,306,244,864
  5. Step 5: Solve for x
    x = 26,306,244,864/74,982
  6. Step 6: Final answer
    x = 350,834.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.