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Finding the Third Proportional to 50,319 and 109,967

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Solution

The third proportional to 50,319 and 109,967 is: 240,321.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,319 : 109,967 = 109,967 : x
  2. Step 2: Convert to fraction form
    50,319/109,967 = 109,967/x
  3. Step 3: Cross multiply
    50,319x = 109,967 × 109,967
  4. Step 4: Simplify right side
    50,319x = 12,092,741,089
  5. Step 5: Solve for x
    x = 12,092,741,089/50,319
  6. Step 6: Final answer
    x = 240,321.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.