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Finding the Third Proportional to 49,965 and 110,514

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Solution

The third proportional to 49,965 and 110,514 is: 244,437.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,965 : 110,514 = 110,514 : x
  2. Step 2: Convert to fraction form
    49,965/110,514 = 110,514/x
  3. Step 3: Cross multiply
    49,965x = 110,514 × 110,514
  4. Step 4: Simplify right side
    49,965x = 12,213,344,196
  5. Step 5: Solve for x
    x = 12,213,344,196/49,965
  6. Step 6: Final answer
    x = 244,437.99

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.