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Finding the Third Proportional to 62,192 and 146,182

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Solution

The third proportional to 62,192 and 146,182 is: 343,600.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,192 : 146,182 = 146,182 : x
  2. Step 2: Convert to fraction form
    62,192/146,182 = 146,182/x
  3. Step 3: Cross multiply
    62,192x = 146,182 × 146,182
  4. Step 4: Simplify right side
    62,192x = 21,369,177,124
  5. Step 5: Solve for x
    x = 21,369,177,124/62,192
  6. Step 6: Final answer
    x = 343,600.10

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.