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Finding the Third Proportional to 48,204 and 70,110

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Solution

The third proportional to 48,204 and 70,110 is: 101,971.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,204 : 70,110 = 70,110 : x
  2. Step 2: Convert to fraction form
    48,204/70,110 = 70,110/x
  3. Step 3: Cross multiply
    48,204x = 70,110 × 70,110
  4. Step 4: Simplify right side
    48,204x = 4,915,412,100
  5. Step 5: Solve for x
    x = 4,915,412,100/48,204
  6. Step 6: Final answer
    x = 101,971.04

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.