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Finding the Third Proportional to 99,523 and 149,223

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Solution

The third proportional to 99,523 and 149,223 is: 223,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,523 : 149,223 = 149,223 : x
  2. Step 2: Convert to fraction form
    99,523/149,223 = 149,223/x
  3. Step 3: Cross multiply
    99,523x = 149,223 × 149,223
  4. Step 4: Simplify right side
    99,523x = 22,267,503,729
  5. Step 5: Solve for x
    x = 22,267,503,729/99,523
  6. Step 6: Final answer
    x = 223,742.29

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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.