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Finding the Third Proportional to 51,776 and 113,244

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Solution

The third proportional to 51,776 and 113,244 is: 247,686.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,776 : 113,244 = 113,244 : x
  2. Step 2: Convert to fraction form
    51,776/113,244 = 113,244/x
  3. Step 3: Cross multiply
    51,776x = 113,244 × 113,244
  4. Step 4: Simplify right side
    51,776x = 12,824,203,536
  5. Step 5: Solve for x
    x = 12,824,203,536/51,776
  6. Step 6: Final answer
    x = 247,686.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.