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Finding the Third Proportional to 70,048 and 104,824

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Solution

The third proportional to 70,048 and 104,824 is: 156,864.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,048 : 104,824 = 104,824 : x
  2. Step 2: Convert to fraction form
    70,048/104,824 = 104,824/x
  3. Step 3: Cross multiply
    70,048x = 104,824 × 104,824
  4. Step 4: Simplify right side
    70,048x = 10,988,070,976
  5. Step 5: Solve for x
    x = 10,988,070,976/70,048
  6. Step 6: Final answer
    x = 156,864.88

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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.