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Finding the Third Proportional to 107,067 and 235,317

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Solution

The third proportional to 107,067 and 235,317 is: 517,191.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,067 : 235,317 = 235,317 : x
  2. Step 2: Convert to fraction form
    107,067/235,317 = 235,317/x
  3. Step 3: Cross multiply
    107,067x = 235,317 × 235,317
  4. Step 4: Simplify right side
    107,067x = 55,374,090,489
  5. Step 5: Solve for x
    x = 55,374,090,489/107,067
  6. Step 6: Final answer
    x = 517,191.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.