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Finding the Third Proportional to 56,162 and 87,611

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Solution

The third proportional to 56,162 and 87,611 is: 136,670.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,162 : 87,611 = 87,611 : x
  2. Step 2: Convert to fraction form
    56,162/87,611 = 87,611/x
  3. Step 3: Cross multiply
    56,162x = 87,611 × 87,611
  4. Step 4: Simplify right side
    56,162x = 7,675,687,321
  5. Step 5: Solve for x
    x = 7,675,687,321/56,162
  6. Step 6: Final answer
    x = 136,670.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.