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Finding the Third Proportional to 56,695 and 84,493

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Solution

The third proportional to 56,695 and 84,493 is: 125,920.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,695 : 84,493 = 84,493 : x
  2. Step 2: Convert to fraction form
    56,695/84,493 = 84,493/x
  3. Step 3: Cross multiply
    56,695x = 84,493 × 84,493
  4. Step 4: Simplify right side
    56,695x = 7,139,067,049
  5. Step 5: Solve for x
    x = 7,139,067,049/56,695
  6. Step 6: Final answer
    x = 125,920.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.