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Finding the Third Proportional to 126,024 and 195,156

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Solution

The third proportional to 126,024 and 195,156 is: 302,211.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,024 : 195,156 = 195,156 : x
  2. Step 2: Convert to fraction form
    126,024/195,156 = 195,156/x
  3. Step 3: Cross multiply
    126,024x = 195,156 × 195,156
  4. Step 4: Simplify right side
    126,024x = 38,085,864,336
  5. Step 5: Solve for x
    x = 38,085,864,336/126,024
  6. Step 6: Final answer
    x = 302,211.20

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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.