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Finding the Third Proportional to 126,648 and 197,640

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Solution

The third proportional to 126,648 and 197,640 is: 308,426.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,648 : 197,640 = 197,640 : x
  2. Step 2: Convert to fraction form
    126,648/197,640 = 197,640/x
  3. Step 3: Cross multiply
    126,648x = 197,640 × 197,640
  4. Step 4: Simplify right side
    126,648x = 39,061,569,600
  5. Step 5: Solve for x
    x = 39,061,569,600/126,648
  6. Step 6: Final answer
    x = 308,426.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.