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Finding the Third Proportional to 50,995 and 110,462

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Solution

The third proportional to 50,995 and 110,462 is: 239,275.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,995 : 110,462 = 110,462 : x
  2. Step 2: Convert to fraction form
    50,995/110,462 = 110,462/x
  3. Step 3: Cross multiply
    50,995x = 110,462 × 110,462
  4. Step 4: Simplify right side
    50,995x = 12,201,853,444
  5. Step 5: Solve for x
    x = 12,201,853,444/50,995
  6. Step 6: Final answer
    x = 239,275.49

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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.