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Finding the Third Proportional to 79,831 and 118,201

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Solution

The third proportional to 79,831 and 118,201 is: 175,013.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,831 : 118,201 = 118,201 : x
  2. Step 2: Convert to fraction form
    79,831/118,201 = 118,201/x
  3. Step 3: Cross multiply
    79,831x = 118,201 × 118,201
  4. Step 4: Simplify right side
    79,831x = 13,971,476,401
  5. Step 5: Solve for x
    x = 13,971,476,401/79,831
  6. Step 6: Final answer
    x = 175,013.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.