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Finding the Third Proportional to 92,704.50 and 149,175

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Solution

The third proportional to 92,704.50 and 149,175 is: 240,044.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,704.50 : 149,175 = 149,175 : x
  2. Step 2: Convert to fraction form
    92,704.50/149,175 = 149,175/x
  3. Step 3: Cross multiply
    92,704.50x = 149,175 × 149,175
  4. Step 4: Simplify right side
    92,704.50x = 22,253,180,625
  5. Step 5: Solve for x
    x = 22,253,180,625/92,704.50
  6. Step 6: Final answer
    x = 240,044.23

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.