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Finding the Third Proportional to 47,126.95 and 102,546.56

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Solution

The third proportional to 47,126.95 and 102,546.56 is: 223,137.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,126.95 : 102,546.56 = 102,546.56 : x
  2. Step 2: Convert to fraction form
    47,126.95/102,546.56 = 102,546.56/x
  3. Step 3: Cross multiply
    47,126.95x = 102,546.56 × 102,546.56
  4. Step 4: Simplify right side
    47,126.95x = 10,515,797,480.57
  5. Step 5: Solve for x
    x = 10,515,797,480.57/47,126.95
  6. Step 6: Final answer
    x = 223,137.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.