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Finding the Third Proportional to 47,056 and 100,491

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Solution

The third proportional to 47,056 and 100,491 is: 214,604.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,056 : 100,491 = 100,491 : x
  2. Step 2: Convert to fraction form
    47,056/100,491 = 100,491/x
  3. Step 3: Cross multiply
    47,056x = 100,491 × 100,491
  4. Step 4: Simplify right side
    47,056x = 10,098,441,081
  5. Step 5: Solve for x
    x = 10,098,441,081/47,056
  6. Step 6: Final answer
    x = 214,604.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.