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Finding the Third Proportional to 51,599 and 113,191

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Solution

The third proportional to 51,599 and 113,191 is: 248,303.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,599 : 113,191 = 113,191 : x
  2. Step 2: Convert to fraction form
    51,599/113,191 = 113,191/x
  3. Step 3: Cross multiply
    51,599x = 113,191 × 113,191
  4. Step 4: Simplify right side
    51,599x = 12,812,202,481
  5. Step 5: Solve for x
    x = 12,812,202,481/51,599
  6. Step 6: Final answer
    x = 248,303.31

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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.