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Finding the Third Proportional to 51,837.75 and 113,532.75

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Solution

The third proportional to 51,837.75 and 113,532.75 is: 248,654.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,837.75 : 113,532.75 = 113,532.75 : x
  2. Step 2: Convert to fraction form
    51,837.75/113,532.75 = 113,532.75/x
  3. Step 3: Cross multiply
    51,837.75x = 113,532.75 × 113,532.75
  4. Step 4: Simplify right side
    51,837.75x = 12,889,685,322.56
  5. Step 5: Solve for x
    x = 12,889,685,322.56/51,837.75
  6. Step 6: Final answer
    x = 248,654.41

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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.