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Finding the Third Proportional to 49,375 and 108,115

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Solution

The third proportional to 49,375 and 108,115 is: 236,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,375 : 108,115 = 108,115 : x
  2. Step 2: Convert to fraction form
    49,375/108,115 = 108,115/x
  3. Step 3: Cross multiply
    49,375x = 108,115 × 108,115
  4. Step 4: Simplify right side
    49,375x = 11,688,853,225
  5. Step 5: Solve for x
    x = 11,688,853,225/49,375
  6. Step 6: Final answer
    x = 236,736.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.