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Finding the Third Proportional to 107,967 and 250,989

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Solution

The third proportional to 107,967 and 250,989 is: 583,469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,967 : 250,989 = 250,989 : x
  2. Step 2: Convert to fraction form
    107,967/250,989 = 250,989/x
  3. Step 3: Cross multiply
    107,967x = 250,989 × 250,989
  4. Step 4: Simplify right side
    107,967x = 62,995,478,121
  5. Step 5: Solve for x
    x = 62,995,478,121/107,967
  6. Step 6: Final answer
    x = 583,469.75

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.