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Finding the Third Proportional to 65,635.50 and 134,037

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Solution

The third proportional to 65,635.50 and 134,037 is: 273,722.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,635.50 : 134,037 = 134,037 : x
  2. Step 2: Convert to fraction form
    65,635.50/134,037 = 134,037/x
  3. Step 3: Cross multiply
    65,635.50x = 134,037 × 134,037
  4. Step 4: Simplify right side
    65,635.50x = 17,965,917,369
  5. Step 5: Solve for x
    x = 17,965,917,369/65,635.50
  6. Step 6: Final answer
    x = 273,722.56

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.