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Finding the Third Proportional to 135,032 and 179,216

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Solution

The third proportional to 135,032 and 179,216 is: 237,857.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,032 : 179,216 = 179,216 : x
  2. Step 2: Convert to fraction form
    135,032/179,216 = 179,216/x
  3. Step 3: Cross multiply
    135,032x = 179,216 × 179,216
  4. Step 4: Simplify right side
    135,032x = 32,118,374,656
  5. Step 5: Solve for x
    x = 32,118,374,656/135,032
  6. Step 6: Final answer
    x = 237,857.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.