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Finding the Third Proportional to 49,158 and 107,515

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Solution

The third proportional to 49,158 and 107,515 is: 235,149.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,158 : 107,515 = 107,515 : x
  2. Step 2: Convert to fraction form
    49,158/107,515 = 107,515/x
  3. Step 3: Cross multiply
    49,158x = 107,515 × 107,515
  4. Step 4: Simplify right side
    49,158x = 11,559,475,225
  5. Step 5: Solve for x
    x = 11,559,475,225/49,158
  6. Step 6: Final answer
    x = 235,149.42

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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.