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Finding the Third Proportional to 70,168 and 104,920

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Solution

The third proportional to 70,168 and 104,920 is: 156,883.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,168 : 104,920 = 104,920 : x
  2. Step 2: Convert to fraction form
    70,168/104,920 = 104,920/x
  3. Step 3: Cross multiply
    70,168x = 104,920 × 104,920
  4. Step 4: Simplify right side
    70,168x = 11,008,206,400
  5. Step 5: Solve for x
    x = 11,008,206,400/70,168
  6. Step 6: Final answer
    x = 156,883.57

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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.