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Finding the Third Proportional to 68,704.50 and 149,157

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Solution

The third proportional to 68,704.50 and 149,157 is: 323,818.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,704.50 : 149,157 = 149,157 : x
  2. Step 2: Convert to fraction form
    68,704.50/149,157 = 149,157/x
  3. Step 3: Cross multiply
    68,704.50x = 149,157 × 149,157
  4. Step 4: Simplify right side
    68,704.50x = 22,247,810,649
  5. Step 5: Solve for x
    x = 22,247,810,649/68,704.50
  6. Step 6: Final answer
    x = 323,818.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.