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Finding the Third Proportional to 38,056 and 80,960

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Solution

The third proportional to 38,056 and 80,960 is: 172,233.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,056 : 80,960 = 80,960 : x
  2. Step 2: Convert to fraction form
    38,056/80,960 = 80,960/x
  3. Step 3: Cross multiply
    38,056x = 80,960 × 80,960
  4. Step 4: Simplify right side
    38,056x = 6,554,521,600
  5. Step 5: Solve for x
    x = 6,554,521,600/38,056
  6. Step 6: Final answer
    x = 172,233.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.