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Finding the Third Proportional to 99,205 and 149,034

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Solution

The third proportional to 99,205 and 149,034 is: 223,891.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,205 : 149,034 = 149,034 : x
  2. Step 2: Convert to fraction form
    99,205/149,034 = 149,034/x
  3. Step 3: Cross multiply
    99,205x = 149,034 × 149,034
  4. Step 4: Simplify right side
    99,205x = 22,211,133,156
  5. Step 5: Solve for x
    x = 22,211,133,156/99,205
  6. Step 6: Final answer
    x = 223,891.27

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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.