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Finding the Third Proportional to 38,124 and 78,192

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Solution

The third proportional to 38,124 and 78,192 is: 160,371.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,124 : 78,192 = 78,192 : x
  2. Step 2: Convert to fraction form
    38,124/78,192 = 78,192/x
  3. Step 3: Cross multiply
    38,124x = 78,192 × 78,192
  4. Step 4: Simplify right side
    38,124x = 6,113,988,864
  5. Step 5: Solve for x
    x = 6,113,988,864/38,124
  6. Step 6: Final answer
    x = 160,371.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.