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Finding the Third Proportional to 67,500.84 and 159,138.42

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Solution

The third proportional to 67,500.84 and 159,138.42 is: 375,181.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,500.84 : 159,138.42 = 159,138.42 : x
  2. Step 2: Convert to fraction form
    67,500.84/159,138.42 = 159,138.42/x
  3. Step 3: Cross multiply
    67,500.84x = 159,138.42 × 159,138.42
  4. Step 4: Simplify right side
    67,500.84x = 25,325,037,316.87
  5. Step 5: Solve for x
    x = 25,325,037,316.87/67,500.84
  6. Step 6: Final answer
    x = 375,181.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.