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Finding the Third Proportional to 92,115 and 135,150

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Solution

The third proportional to 92,115 and 135,150 is: 198,290.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,115 : 135,150 = 135,150 : x
  2. Step 2: Convert to fraction form
    92,115/135,150 = 135,150/x
  3. Step 3: Cross multiply
    92,115x = 135,150 × 135,150
  4. Step 4: Simplify right side
    92,115x = 18,265,522,500
  5. Step 5: Solve for x
    x = 18,265,522,500/92,115
  6. Step 6: Final answer
    x = 198,290.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.