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Finding the Third Proportional to 79,648 and 117,644

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Solution

The third proportional to 79,648 and 117,644 is: 173,765.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,648 : 117,644 = 117,644 : x
  2. Step 2: Convert to fraction form
    79,648/117,644 = 117,644/x
  3. Step 3: Cross multiply
    79,648x = 117,644 × 117,644
  4. Step 4: Simplify right side
    79,648x = 13,840,110,736
  5. Step 5: Solve for x
    x = 13,840,110,736/79,648
  6. Step 6: Final answer
    x = 173,765.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.