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Finding the Third Proportional to 79,708 and 119,408

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Solution

The third proportional to 79,708 and 119,408 is: 178,881.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,708 : 119,408 = 119,408 : x
  2. Step 2: Convert to fraction form
    79,708/119,408 = 119,408/x
  3. Step 3: Cross multiply
    79,708x = 119,408 × 119,408
  4. Step 4: Simplify right side
    79,708x = 14,258,270,464
  5. Step 5: Solve for x
    x = 14,258,270,464/79,708
  6. Step 6: Final answer
    x = 178,881.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.