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Finding the Third Proportional to 135,967.50 and 211,059

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Solution

The third proportional to 135,967.50 and 211,059 is: 327,621.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,967.50 : 211,059 = 211,059 : x
  2. Step 2: Convert to fraction form
    135,967.50/211,059 = 211,059/x
  3. Step 3: Cross multiply
    135,967.50x = 211,059 × 211,059
  4. Step 4: Simplify right side
    135,967.50x = 44,545,901,481
  5. Step 5: Solve for x
    x = 44,545,901,481/135,967.50
  6. Step 6: Final answer
    x = 327,621.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.