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Finding the Third Proportional to 51,901.88 and 113,496.75

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Solution

The third proportional to 51,901.88 and 113,496.75 is: 248,189.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,901.88 : 113,496.75 = 113,496.75 : x
  2. Step 2: Convert to fraction form
    51,901.88/113,496.75 = 113,496.75/x
  3. Step 3: Cross multiply
    51,901.88x = 113,496.75 × 113,496.75
  4. Step 4: Simplify right side
    51,901.88x = 12,881,512,260.56
  5. Step 5: Solve for x
    x = 12,881,512,260.56/51,901.88
  6. Step 6: Final answer
    x = 248,189.73

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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.