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Finding the Third Proportional to 126,194 and 195,369

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Solution

The third proportional to 126,194 and 195,369 is: 302,463.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,194 : 195,369 = 195,369 : x
  2. Step 2: Convert to fraction form
    126,194/195,369 = 195,369/x
  3. Step 3: Cross multiply
    126,194x = 195,369 × 195,369
  4. Step 4: Simplify right side
    126,194x = 38,169,046,161
  5. Step 5: Solve for x
    x = 38,169,046,161/126,194
  6. Step 6: Final answer
    x = 302,463.24

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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.