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Finding the Third Proportional to 68,222.25 and 159,343.88

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Solution

The third proportional to 68,222.25 and 159,343.88 is: 372,172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,222.25 : 159,343.88 = 159,343.88 : x
  2. Step 2: Convert to fraction form
    68,222.25/159,343.88 = 159,343.88/x
  3. Step 3: Cross multiply
    68,222.25x = 159,343.88 × 159,343.88
  4. Step 4: Simplify right side
    68,222.25x = 25,390,470,500.02
  5. Step 5: Solve for x
    x = 25,390,470,500.02/68,222.25
  6. Step 6: Final answer
    x = 372,172.87

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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.