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Finding the Third Proportional to 126,096 and 195,246

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Solution

The third proportional to 126,096 and 195,246 is: 302,317.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,096 : 195,246 = 195,246 : x
  2. Step 2: Convert to fraction form
    126,096/195,246 = 195,246/x
  3. Step 3: Cross multiply
    126,096x = 195,246 × 195,246
  4. Step 4: Simplify right side
    126,096x = 38,121,000,516
  5. Step 5: Solve for x
    x = 38,121,000,516/126,096
  6. Step 6: Final answer
    x = 302,317.29

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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.