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Finding the Third Proportional to 132,707 and 201,167

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Solution

The third proportional to 132,707 and 201,167 is: 304,943.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,707 : 201,167 = 201,167 : x
  2. Step 2: Convert to fraction form
    132,707/201,167 = 201,167/x
  3. Step 3: Cross multiply
    132,707x = 201,167 × 201,167
  4. Step 4: Simplify right side
    132,707x = 40,468,161,889
  5. Step 5: Solve for x
    x = 40,468,161,889/132,707
  6. Step 6: Final answer
    x = 304,943.69

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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.