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Finding the Third Proportional to 68,400.70 and 159,764.91

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Solution

The third proportional to 68,400.70 and 159,764.91 is: 373,166.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,400.70 : 159,764.91 = 159,764.91 : x
  2. Step 2: Convert to fraction form
    68,400.70/159,764.91 = 159,764.91/x
  3. Step 3: Cross multiply
    68,400.70x = 159,764.91 × 159,764.91
  4. Step 4: Simplify right side
    68,400.70x = 25,524,825,269.07
  5. Step 5: Solve for x
    x = 25,524,825,269.07/68,400.70
  6. Step 6: Final answer
    x = 373,166.12

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.