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Finding the Third Proportional to 90,254 and 132,302

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Solution

The third proportional to 90,254 and 132,302 is: 193,939.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,254 : 132,302 = 132,302 : x
  2. Step 2: Convert to fraction form
    90,254/132,302 = 132,302/x
  3. Step 3: Cross multiply
    90,254x = 132,302 × 132,302
  4. Step 4: Simplify right side
    90,254x = 17,503,819,204
  5. Step 5: Solve for x
    x = 17,503,819,204/90,254
  6. Step 6: Final answer
    x = 193,939.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.