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Finding the Third Proportional to 132,254 and 201,149

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Solution

The third proportional to 132,254 and 201,149 is: 305,933.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,254 : 201,149 = 201,149 : x
  2. Step 2: Convert to fraction form
    132,254/201,149 = 201,149/x
  3. Step 3: Cross multiply
    132,254x = 201,149 × 201,149
  4. Step 4: Simplify right side
    132,254x = 40,460,920,201
  5. Step 5: Solve for x
    x = 40,460,920,201/132,254
  6. Step 6: Final answer
    x = 305,933.43

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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.