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Finding the Third Proportional to 64,191 and 132,471

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Solution

The third proportional to 64,191 and 132,471 is: 273,380.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,191 : 132,471 = 132,471 : x
  2. Step 2: Convert to fraction form
    64,191/132,471 = 132,471/x
  3. Step 3: Cross multiply
    64,191x = 132,471 × 132,471
  4. Step 4: Simplify right side
    64,191x = 17,548,565,841
  5. Step 5: Solve for x
    x = 17,548,565,841/64,191
  6. Step 6: Final answer
    x = 273,380.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.