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Finding the Third Proportional to 99,742.50 and 149,265

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Solution

The third proportional to 99,742.50 and 149,265 is: 223,375.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,742.50 : 149,265 = 149,265 : x
  2. Step 2: Convert to fraction form
    99,742.50/149,265 = 149,265/x
  3. Step 3: Cross multiply
    99,742.50x = 149,265 × 149,265
  4. Step 4: Simplify right side
    99,742.50x = 22,280,040,225
  5. Step 5: Solve for x
    x = 22,280,040,225/99,742.50
  6. Step 6: Final answer
    x = 223,375.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.