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Finding the Third Proportional to 112,538 and 162,327

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Solution

The third proportional to 112,538 and 162,327 is: 234,143.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,538 : 162,327 = 162,327 : x
  2. Step 2: Convert to fraction form
    112,538/162,327 = 162,327/x
  3. Step 3: Cross multiply
    112,538x = 162,327 × 162,327
  4. Step 4: Simplify right side
    112,538x = 26,350,054,929
  5. Step 5: Solve for x
    x = 26,350,054,929/112,538
  6. Step 6: Final answer
    x = 234,143.62

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.