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Finding the Third Proportional to 60,039 and 140,256

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Solution

The third proportional to 60,039 and 140,256 is: 327,649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,039 : 140,256 = 140,256 : x
  2. Step 2: Convert to fraction form
    60,039/140,256 = 140,256/x
  3. Step 3: Cross multiply
    60,039x = 140,256 × 140,256
  4. Step 4: Simplify right side
    60,039x = 19,671,745,536
  5. Step 5: Solve for x
    x = 19,671,745,536/60,039
  6. Step 6: Final answer
    x = 327,649.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.