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Finding the Third Proportional to 56,942 and 86,791

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Solution

The third proportional to 56,942 and 86,791 is: 132,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,942 : 86,791 = 86,791 : x
  2. Step 2: Convert to fraction form
    56,942/86,791 = 86,791/x
  3. Step 3: Cross multiply
    56,942x = 86,791 × 86,791
  4. Step 4: Simplify right side
    56,942x = 7,532,677,681
  5. Step 5: Solve for x
    x = 7,532,677,681/56,942
  6. Step 6: Final answer
    x = 132,286.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.