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Finding the Third Proportional to 50,967 and 110,439

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Solution

The third proportional to 50,967 and 110,439 is: 239,307.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,967 : 110,439 = 110,439 : x
  2. Step 2: Convert to fraction form
    50,967/110,439 = 110,439/x
  3. Step 3: Cross multiply
    50,967x = 110,439 × 110,439
  4. Step 4: Simplify right side
    50,967x = 12,196,772,721
  5. Step 5: Solve for x
    x = 12,196,772,721/50,967
  6. Step 6: Final answer
    x = 239,307.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.