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Finding the Third Proportional to 75,096 and 140,733

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Solution

The third proportional to 75,096 and 140,733 is: 263,739.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,096 : 140,733 = 140,733 : x
  2. Step 2: Convert to fraction form
    75,096/140,733 = 140,733/x
  3. Step 3: Cross multiply
    75,096x = 140,733 × 140,733
  4. Step 4: Simplify right side
    75,096x = 19,805,777,289
  5. Step 5: Solve for x
    x = 19,805,777,289/75,096
  6. Step 6: Final answer
    x = 263,739.44

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.