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Finding the Third Proportional to 126,284 and 196,066

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Solution

The third proportional to 126,284 and 196,066 is: 304,408.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,284 : 196,066 = 196,066 : x
  2. Step 2: Convert to fraction form
    126,284/196,066 = 196,066/x
  3. Step 3: Cross multiply
    126,284x = 196,066 × 196,066
  4. Step 4: Simplify right side
    126,284x = 38,441,876,356
  5. Step 5: Solve for x
    x = 38,441,876,356/126,284
  6. Step 6: Final answer
    x = 304,408.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.