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Finding the Third Proportional to 132,709 and 201,170

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Solution

The third proportional to 132,709 and 201,170 is: 304,948.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,709 : 201,170 = 201,170 : x
  2. Step 2: Convert to fraction form
    132,709/201,170 = 201,170/x
  3. Step 3: Cross multiply
    132,709x = 201,170 × 201,170
  4. Step 4: Simplify right side
    132,709x = 40,469,368,900
  5. Step 5: Solve for x
    x = 40,469,368,900/132,709
  6. Step 6: Final answer
    x = 304,948.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.