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Finding the Third Proportional to 73,859 and 152,073

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Solution

The third proportional to 73,859 and 152,073 is: 313,112.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,859 : 152,073 = 152,073 : x
  2. Step 2: Convert to fraction form
    73,859/152,073 = 152,073/x
  3. Step 3: Cross multiply
    73,859x = 152,073 × 152,073
  4. Step 4: Simplify right side
    73,859x = 23,126,197,329
  5. Step 5: Solve for x
    x = 23,126,197,329/73,859
  6. Step 6: Final answer
    x = 313,112.79

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.