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Finding the Third Proportional to 107,926 and 168,952

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Solution

The third proportional to 107,926 and 168,952 is: 264,484.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,926 : 168,952 = 168,952 : x
  2. Step 2: Convert to fraction form
    107,926/168,952 = 168,952/x
  3. Step 3: Cross multiply
    107,926x = 168,952 × 168,952
  4. Step 4: Simplify right side
    107,926x = 28,544,778,304
  5. Step 5: Solve for x
    x = 28,544,778,304/107,926
  6. Step 6: Final answer
    x = 264,484.72

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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.