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Finding the Third Proportional to 131,325.75 and 192,330

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Solution

The third proportional to 131,325.75 and 192,330 is: 281,672.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,325.75 : 192,330 = 192,330 : x
  2. Step 2: Convert to fraction form
    131,325.75/192,330 = 192,330/x
  3. Step 3: Cross multiply
    131,325.75x = 192,330 × 192,330
  4. Step 4: Simplify right side
    131,325.75x = 36,990,828,900
  5. Step 5: Solve for x
    x = 36,990,828,900/131,325.75
  6. Step 6: Final answer
    x = 281,672.32

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.