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Finding the Third Proportional to 47,382 and 103,115

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Solution

The third proportional to 47,382 and 103,115 is: 224,403.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,382 : 103,115 = 103,115 : x
  2. Step 2: Convert to fraction form
    47,382/103,115 = 103,115/x
  3. Step 3: Cross multiply
    47,382x = 103,115 × 103,115
  4. Step 4: Simplify right side
    47,382x = 10,632,703,225
  5. Step 5: Solve for x
    x = 10,632,703,225/47,382
  6. Step 6: Final answer
    x = 224,403.85

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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.