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Finding the Third Proportional to 135,105 and 291,150

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Solution

The third proportional to 135,105 and 291,150 is: 627,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,105 : 291,150 = 291,150 : x
  2. Step 2: Convert to fraction form
    135,105/291,150 = 291,150/x
  3. Step 3: Cross multiply
    135,105x = 291,150 × 291,150
  4. Step 4: Simplify right side
    135,105x = 84,768,322,500
  5. Step 5: Solve for x
    x = 84,768,322,500/135,105
  6. Step 6: Final answer
    x = 627,425.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.