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Finding the Third Proportional to 106,851 and 166,105.13

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Solution

The third proportional to 106,851 and 166,105.13 is: 258,218.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,851 : 166,105.13 = 166,105.13 : x
  2. Step 2: Convert to fraction form
    106,851/166,105.13 = 166,105.13/x
  3. Step 3: Cross multiply
    106,851x = 166,105.13 × 166,105.13
  4. Step 4: Simplify right side
    106,851x = 27,590,912,551.27
  5. Step 5: Solve for x
    x = 27,590,912,551.27/106,851
  6. Step 6: Final answer
    x = 258,218.57

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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.