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Finding the Third Proportional to 56,882 and 79,567

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Solution

The third proportional to 56,882 and 79,567 is: 111,298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,882 : 79,567 = 79,567 : x
  2. Step 2: Convert to fraction form
    56,882/79,567 = 79,567/x
  3. Step 3: Cross multiply
    56,882x = 79,567 × 79,567
  4. Step 4: Simplify right side
    56,882x = 6,330,907,489
  5. Step 5: Solve for x
    x = 6,330,907,489/56,882
  6. Step 6: Final answer
    x = 111,298.96

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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.