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Finding the Third Proportional to 51,807 and 113,331

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Solution

The third proportional to 51,807 and 113,331 is: 247,918.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,807 : 113,331 = 113,331 : x
  2. Step 2: Convert to fraction form
    51,807/113,331 = 113,331/x
  3. Step 3: Cross multiply
    51,807x = 113,331 × 113,331
  4. Step 4: Simplify right side
    51,807x = 12,843,915,561
  5. Step 5: Solve for x
    x = 12,843,915,561/51,807
  6. Step 6: Final answer
    x = 247,918.54

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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.