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Finding the Third Proportional to 51,943 and 76,183

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Solution

The third proportional to 51,943 and 76,183 is: 111,734.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,943 : 76,183 = 76,183 : x
  2. Step 2: Convert to fraction form
    51,943/76,183 = 76,183/x
  3. Step 3: Cross multiply
    51,943x = 76,183 × 76,183
  4. Step 4: Simplify right side
    51,943x = 5,803,849,489
  5. Step 5: Solve for x
    x = 5,803,849,489/51,943
  6. Step 6: Final answer
    x = 111,734.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.