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Finding the Third Proportional to 49,241 and 108,323

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Solution

The third proportional to 49,241 and 108,323 is: 238,294.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,241 : 108,323 = 108,323 : x
  2. Step 2: Convert to fraction form
    49,241/108,323 = 108,323/x
  3. Step 3: Cross multiply
    49,241x = 108,323 × 108,323
  4. Step 4: Simplify right side
    49,241x = 11,733,872,329
  5. Step 5: Solve for x
    x = 11,733,872,329/49,241
  6. Step 6: Final answer
    x = 238,294.76

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