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Finding the Third Proportional to 107,874 and 168,852

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Solution

The third proportional to 107,874 and 168,852 is: 264,299.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,874 : 168,852 = 168,852 : x
  2. Step 2: Convert to fraction form
    107,874/168,852 = 168,852/x
  3. Step 3: Cross multiply
    107,874x = 168,852 × 168,852
  4. Step 4: Simplify right side
    107,874x = 28,510,997,904
  5. Step 5: Solve for x
    x = 28,510,997,904/107,874
  6. Step 6: Final answer
    x = 264,299.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.