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Finding the Third Proportional to 73,708 and 173,251

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Solution

The third proportional to 73,708 and 173,251 is: 407,227.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,708 : 173,251 = 173,251 : x
  2. Step 2: Convert to fraction form
    73,708/173,251 = 173,251/x
  3. Step 3: Cross multiply
    73,708x = 173,251 × 173,251
  4. Step 4: Simplify right side
    73,708x = 30,015,909,001
  5. Step 5: Solve for x
    x = 30,015,909,001/73,708
  6. Step 6: Final answer
    x = 407,227.29

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.