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Finding the Third Proportional to 132,376 and 202,027

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Solution

The third proportional to 132,376 and 202,027 is: 308,325.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,376 : 202,027 = 202,027 : x
  2. Step 2: Convert to fraction form
    132,376/202,027 = 202,027/x
  3. Step 3: Cross multiply
    132,376x = 202,027 × 202,027
  4. Step 4: Simplify right side
    132,376x = 40,814,908,729
  5. Step 5: Solve for x
    x = 40,814,908,729/132,376
  6. Step 6: Final answer
    x = 308,325.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.