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Finding the Third Proportional to 31,345 and 68,891

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Solution

The third proportional to 31,345 and 68,891 is: 151,410.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,345 : 68,891 = 68,891 : x
  2. Step 2: Convert to fraction form
    31,345/68,891 = 68,891/x
  3. Step 3: Cross multiply
    31,345x = 68,891 × 68,891
  4. Step 4: Simplify right side
    31,345x = 4,745,969,881
  5. Step 5: Solve for x
    x = 4,745,969,881/31,345
  6. Step 6: Final answer
    x = 151,410.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.