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Finding the Third Proportional to 50,169 and 110,577

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Solution

The third proportional to 50,169 and 110,577 is: 243,721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,169 : 110,577 = 110,577 : x
  2. Step 2: Convert to fraction form
    50,169/110,577 = 110,577/x
  3. Step 3: Cross multiply
    50,169x = 110,577 × 110,577
  4. Step 4: Simplify right side
    50,169x = 12,227,272,929
  5. Step 5: Solve for x
    x = 12,227,272,929/50,169
  6. Step 6: Final answer
    x = 243,721.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.