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Finding the Third Proportional to 47,307 and 104,454

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Solution

The third proportional to 47,307 and 104,454 is: 230,634.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,307 : 104,454 = 104,454 : x
  2. Step 2: Convert to fraction form
    47,307/104,454 = 104,454/x
  3. Step 3: Cross multiply
    47,307x = 104,454 × 104,454
  4. Step 4: Simplify right side
    47,307x = 10,910,638,116
  5. Step 5: Solve for x
    x = 10,910,638,116/47,307
  6. Step 6: Final answer
    x = 230,634.75

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.