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Finding the Third Proportional to 51,972 and 112,728

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Solution

The third proportional to 51,972 and 112,728 is: 244,508.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,972 : 112,728 = 112,728 : x
  2. Step 2: Convert to fraction form
    51,972/112,728 = 112,728/x
  3. Step 3: Cross multiply
    51,972x = 112,728 × 112,728
  4. Step 4: Simplify right side
    51,972x = 12,707,601,984
  5. Step 5: Solve for x
    x = 12,707,601,984/51,972
  6. Step 6: Final answer
    x = 244,508.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.