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Finding the Third Proportional to 135,049 and 196,651

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Solution

The third proportional to 135,049 and 196,651 is: 286,352.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,049 : 196,651 = 196,651 : x
  2. Step 2: Convert to fraction form
    135,049/196,651 = 196,651/x
  3. Step 3: Cross multiply
    135,049x = 196,651 × 196,651
  4. Step 4: Simplify right side
    135,049x = 38,671,615,801
  5. Step 5: Solve for x
    x = 38,671,615,801/135,049
  6. Step 6: Final answer
    x = 286,352.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.