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Finding the Third Proportional to 135,542 and 203,313

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Solution

The third proportional to 135,542 and 203,313 is: 304,969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,542 : 203,313 = 203,313 : x
  2. Step 2: Convert to fraction form
    135,542/203,313 = 203,313/x
  3. Step 3: Cross multiply
    135,542x = 203,313 × 203,313
  4. Step 4: Simplify right side
    135,542x = 41,336,175,969
  5. Step 5: Solve for x
    x = 41,336,175,969/135,542
  6. Step 6: Final answer
    x = 304,969.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.