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Finding the Third Proportional to 47,377.50 and 103,107

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Solution

The third proportional to 47,377.50 and 103,107 is: 224,390.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,377.50 : 103,107 = 103,107 : x
  2. Step 2: Convert to fraction form
    47,377.50/103,107 = 103,107/x
  3. Step 3: Cross multiply
    47,377.50x = 103,107 × 103,107
  4. Step 4: Simplify right side
    47,377.50x = 10,631,053,449
  5. Step 5: Solve for x
    x = 10,631,053,449/47,377.50
  6. Step 6: Final answer
    x = 224,390.34

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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.