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Finding the Third Proportional to 75,743 and 159,100

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Solution

The third proportional to 75,743 and 159,100 is: 334,193.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,743 : 159,100 = 159,100 : x
  2. Step 2: Convert to fraction form
    75,743/159,100 = 159,100/x
  3. Step 3: Cross multiply
    75,743x = 159,100 × 159,100
  4. Step 4: Simplify right side
    75,743x = 25,312,810,000
  5. Step 5: Solve for x
    x = 25,312,810,000/75,743
  6. Step 6: Final answer
    x = 334,193.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.