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Finding the Third Proportional to 64,180 and 140,760

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Solution

The third proportional to 64,180 and 140,760 is: 308,715.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,180 : 140,760 = 140,760 : x
  2. Step 2: Convert to fraction form
    64,180/140,760 = 140,760/x
  3. Step 3: Cross multiply
    64,180x = 140,760 × 140,760
  4. Step 4: Simplify right side
    64,180x = 19,813,377,600
  5. Step 5: Solve for x
    x = 19,813,377,600/64,180
  6. Step 6: Final answer
    x = 308,715.76

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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.