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Finding the Third Proportional to 75,619 and 116,073

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Solution

The third proportional to 75,619 and 116,073 is: 178,168.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,619 : 116,073 = 116,073 : x
  2. Step 2: Convert to fraction form
    75,619/116,073 = 116,073/x
  3. Step 3: Cross multiply
    75,619x = 116,073 × 116,073
  4. Step 4: Simplify right side
    75,619x = 13,472,941,329
  5. Step 5: Solve for x
    x = 13,472,941,329/75,619
  6. Step 6: Final answer
    x = 178,168.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.