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Finding the Third Proportional to 101,550 and 157,874

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Solution

The third proportional to 101,550 and 157,874 is: 245,437.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,550 : 157,874 = 157,874 : x
  2. Step 2: Convert to fraction form
    101,550/157,874 = 157,874/x
  3. Step 3: Cross multiply
    101,550x = 157,874 × 157,874
  4. Step 4: Simplify right side
    101,550x = 24,924,199,876
  5. Step 5: Solve for x
    x = 24,924,199,876/101,550
  6. Step 6: Final answer
    x = 245,437.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.