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Finding the Third Proportional to 49,241 and 105,484

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Solution

The third proportional to 49,241 and 105,484 is: 225,967.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,241 : 105,484 = 105,484 : x
  2. Step 2: Convert to fraction form
    49,241/105,484 = 105,484/x
  3. Step 3: Cross multiply
    49,241x = 105,484 × 105,484
  4. Step 4: Simplify right side
    49,241x = 11,126,874,256
  5. Step 5: Solve for x
    x = 11,126,874,256/49,241
  6. Step 6: Final answer
    x = 225,967.67

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.