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Finding the Third Proportional to 107,926 and 168,934

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Solution

The third proportional to 107,926 and 168,934 is: 264,428.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,926 : 168,934 = 168,934 : x
  2. Step 2: Convert to fraction form
    107,926/168,934 = 168,934/x
  3. Step 3: Cross multiply
    107,926x = 168,934 × 168,934
  4. Step 4: Simplify right side
    107,926x = 28,538,696,356
  5. Step 5: Solve for x
    x = 28,538,696,356/107,926
  6. Step 6: Final answer
    x = 264,428.37

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