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Finding the Third Proportional to 132,399 and 196,026

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Solution

The third proportional to 132,399 and 196,026 is: 290,230.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,399 : 196,026 = 196,026 : x
  2. Step 2: Convert to fraction form
    132,399/196,026 = 196,026/x
  3. Step 3: Cross multiply
    132,399x = 196,026 × 196,026
  4. Step 4: Simplify right side
    132,399x = 38,426,192,676
  5. Step 5: Solve for x
    x = 38,426,192,676/132,399
  6. Step 6: Final answer
    x = 290,230.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.