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Finding the Third Proportional to 99,544 and 154,135

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Solution

The third proportional to 99,544 and 154,135 is: 238,664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,544 : 154,135 = 154,135 : x
  2. Step 2: Convert to fraction form
    99,544/154,135 = 154,135/x
  3. Step 3: Cross multiply
    99,544x = 154,135 × 154,135
  4. Step 4: Simplify right side
    99,544x = 23,757,598,225
  5. Step 5: Solve for x
    x = 23,757,598,225/99,544
  6. Step 6: Final answer
    x = 238,664.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.