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Finding the Third Proportional to 47,416 and 104,377

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Solution

The third proportional to 47,416 and 104,377 is: 229,765.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,416 : 104,377 = 104,377 : x
  2. Step 2: Convert to fraction form
    47,416/104,377 = 104,377/x
  3. Step 3: Cross multiply
    47,416x = 104,377 × 104,377
  4. Step 4: Simplify right side
    47,416x = 10,894,558,129
  5. Step 5: Solve for x
    x = 10,894,558,129/47,416
  6. Step 6: Final answer
    x = 229,765.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.