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Finding the Third Proportional to 124,399 and 187,223

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Solution

The third proportional to 124,399 and 187,223 is: 281,774.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,399 : 187,223 = 187,223 : x
  2. Step 2: Convert to fraction form
    124,399/187,223 = 187,223/x
  3. Step 3: Cross multiply
    124,399x = 187,223 × 187,223
  4. Step 4: Simplify right side
    124,399x = 35,052,451,729
  5. Step 5: Solve for x
    x = 35,052,451,729/124,399
  6. Step 6: Final answer
    x = 281,774.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.