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Finding the Third Proportional to 187,612 and 281,092

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Solution

The third proportional to 187,612 and 281,092 is: 421,149.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,612 : 281,092 = 281,092 : x
  2. Step 2: Convert to fraction form
    187,612/281,092 = 281,092/x
  3. Step 3: Cross multiply
    187,612x = 281,092 × 281,092
  4. Step 4: Simplify right side
    187,612x = 79,012,712,464
  5. Step 5: Solve for x
    x = 79,012,712,464/187,612
  6. Step 6: Final answer
    x = 421,149.57

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