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Finding the Third Proportional to 47,270 and 103,126

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Solution

The third proportional to 47,270 and 103,126 is: 224,983.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,270 : 103,126 = 103,126 : x
  2. Step 2: Convert to fraction form
    47,270/103,126 = 103,126/x
  3. Step 3: Cross multiply
    47,270x = 103,126 × 103,126
  4. Step 4: Simplify right side
    47,270x = 10,634,971,876
  5. Step 5: Solve for x
    x = 10,634,971,876/47,270
  6. Step 6: Final answer
    x = 224,983.54

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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.