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Finding the Third Proportional to 50,338 and 110,143

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Solution

The third proportional to 50,338 and 110,143 is: 241,000.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,338 : 110,143 = 110,143 : x
  2. Step 2: Convert to fraction form
    50,338/110,143 = 110,143/x
  3. Step 3: Cross multiply
    50,338x = 110,143 × 110,143
  4. Step 4: Simplify right side
    50,338x = 12,131,480,449
  5. Step 5: Solve for x
    x = 12,131,480,449/50,338
  6. Step 6: Final answer
    x = 241,000.45

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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.