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Finding the Third Proportional to 47,262 and 103,110

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Solution

The third proportional to 47,262 and 103,110 is: 224,951.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,262 : 103,110 = 103,110 : x
  2. Step 2: Convert to fraction form
    47,262/103,110 = 103,110/x
  3. Step 3: Cross multiply
    47,262x = 103,110 × 103,110
  4. Step 4: Simplify right side
    47,262x = 10,631,672,100
  5. Step 5: Solve for x
    x = 10,631,672,100/47,262
  6. Step 6: Final answer
    x = 224,951.80

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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.