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Finding the Third Proportional to 48,611 and 79,377

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Solution

The third proportional to 48,611 and 79,377 is: 129,614.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,611 : 79,377 = 79,377 : x
  2. Step 2: Convert to fraction form
    48,611/79,377 = 79,377/x
  3. Step 3: Cross multiply
    48,611x = 79,377 × 79,377
  4. Step 4: Simplify right side
    48,611x = 6,300,708,129
  5. Step 5: Solve for x
    x = 6,300,708,129/48,611
  6. Step 6: Final answer
    x = 129,614.86

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.