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Finding the Third Proportional to 126,938 and 278,787

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Solution

The third proportional to 126,938 and 278,787 is: 612,284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,938 : 278,787 = 278,787 : x
  2. Step 2: Convert to fraction form
    126,938/278,787 = 278,787/x
  3. Step 3: Cross multiply
    126,938x = 278,787 × 278,787
  4. Step 4: Simplify right side
    126,938x = 77,722,191,369
  5. Step 5: Solve for x
    x = 77,722,191,369/126,938
  6. Step 6: Final answer
    x = 612,284.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.