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Finding the Third Proportional to 131,612 and 192,501

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Solution

The third proportional to 131,612 and 192,501 is: 281,559.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,612 : 192,501 = 192,501 : x
  2. Step 2: Convert to fraction form
    131,612/192,501 = 192,501/x
  3. Step 3: Cross multiply
    131,612x = 192,501 × 192,501
  4. Step 4: Simplify right side
    131,612x = 37,056,635,001
  5. Step 5: Solve for x
    x = 37,056,635,001/131,612
  6. Step 6: Final answer
    x = 281,559.70

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Why These Related Problems?

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