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Finding the Third Proportional to 70,104 and 153,816

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Solution

The third proportional to 70,104 and 153,816 is: 337,489.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,104 : 153,816 = 153,816 : x
  2. Step 2: Convert to fraction form
    70,104/153,816 = 153,816/x
  3. Step 3: Cross multiply
    70,104x = 153,816 × 153,816
  4. Step 4: Simplify right side
    70,104x = 23,659,361,856
  5. Step 5: Solve for x
    x = 23,659,361,856/70,104
  6. Step 6: Final answer
    x = 337,489.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.