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Finding the Third Proportional to 68,096 and 149,440

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Solution

The third proportional to 68,096 and 149,440 is: 327,953.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,096 : 149,440 = 149,440 : x
  2. Step 2: Convert to fraction form
    68,096/149,440 = 149,440/x
  3. Step 3: Cross multiply
    68,096x = 149,440 × 149,440
  4. Step 4: Simplify right side
    68,096x = 22,332,313,600
  5. Step 5: Solve for x
    x = 22,332,313,600/68,096
  6. Step 6: Final answer
    x = 327,953.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.