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Finding the Third Proportional to 40,135 and 84,037

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Solution

The third proportional to 40,135 and 84,037 is: 175,961.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,135 : 84,037 = 84,037 : x
  2. Step 2: Convert to fraction form
    40,135/84,037 = 84,037/x
  3. Step 3: Cross multiply
    40,135x = 84,037 × 84,037
  4. Step 4: Simplify right side
    40,135x = 7,062,217,369
  5. Step 5: Solve for x
    x = 7,062,217,369/40,135
  6. Step 6: Final answer
    x = 175,961.56

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.