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Finding the Third Proportional to 56,397 and 81,930

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Solution

The third proportional to 56,397 and 81,930 is: 119,022.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,397 : 81,930 = 81,930 : x
  2. Step 2: Convert to fraction form
    56,397/81,930 = 81,930/x
  3. Step 3: Cross multiply
    56,397x = 81,930 × 81,930
  4. Step 4: Simplify right side
    56,397x = 6,712,524,900
  5. Step 5: Solve for x
    x = 6,712,524,900/56,397
  6. Step 6: Final answer
    x = 119,022.73

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.