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Finding the Third Proportional to 132,709 and 211,086

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Solution

The third proportional to 132,709 and 211,086 is: 335,751.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,709 : 211,086 = 211,086 : x
  2. Step 2: Convert to fraction form
    132,709/211,086 = 211,086/x
  3. Step 3: Cross multiply
    132,709x = 211,086 × 211,086
  4. Step 4: Simplify right side
    132,709x = 44,557,299,396
  5. Step 5: Solve for x
    x = 44,557,299,396/132,709
  6. Step 6: Final answer
    x = 335,751.90

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.