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Finding the Third Proportional to 56,680 and 79,241

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Solution

The third proportional to 56,680 and 79,241 is: 110,782.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,680 : 79,241 = 79,241 : x
  2. Step 2: Convert to fraction form
    56,680/79,241 = 79,241/x
  3. Step 3: Cross multiply
    56,680x = 79,241 × 79,241
  4. Step 4: Simplify right side
    56,680x = 6,279,136,081
  5. Step 5: Solve for x
    x = 6,279,136,081/56,680
  6. Step 6: Final answer
    x = 110,782.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.