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Finding the Third Proportional to 51,728 and 110,240

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Solution

The third proportional to 51,728 and 110,240 is: 234,937.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,728 : 110,240 = 110,240 : x
  2. Step 2: Convert to fraction form
    51,728/110,240 = 110,240/x
  3. Step 3: Cross multiply
    51,728x = 110,240 × 110,240
  4. Step 4: Simplify right side
    51,728x = 12,152,857,600
  5. Step 5: Solve for x
    x = 12,152,857,600/51,728
  6. Step 6: Final answer
    x = 234,937.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.