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Finding the Third Proportional to 107,922 and 168,931

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Solution

The third proportional to 107,922 and 168,931 is: 264,428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,922 : 168,931 = 168,931 : x
  2. Step 2: Convert to fraction form
    107,922/168,931 = 168,931/x
  3. Step 3: Cross multiply
    107,922x = 168,931 × 168,931
  4. Step 4: Simplify right side
    107,922x = 28,537,682,761
  5. Step 5: Solve for x
    x = 28,537,682,761/107,922
  6. Step 6: Final answer
    x = 264,428.78

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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.