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Finding the Third Proportional to 127,926 and 178,939

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Solution

The third proportional to 127,926 and 178,939 is: 250,294.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,926 : 178,939 = 178,939 : x
  2. Step 2: Convert to fraction form
    127,926/178,939 = 178,939/x
  3. Step 3: Cross multiply
    127,926x = 178,939 × 178,939
  4. Step 4: Simplify right side
    127,926x = 32,019,165,721
  5. Step 5: Solve for x
    x = 32,019,165,721/127,926
  6. Step 6: Final answer
    x = 250,294.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.