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Finding the Third Proportional to 49,156 and 104,748

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Solution

The third proportional to 49,156 and 104,748 is: 223,210.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,156 : 104,748 = 104,748 : x
  2. Step 2: Convert to fraction form
    49,156/104,748 = 104,748/x
  3. Step 3: Cross multiply
    49,156x = 104,748 × 104,748
  4. Step 4: Simplify right side
    49,156x = 10,972,143,504
  5. Step 5: Solve for x
    x = 10,972,143,504/49,156
  6. Step 6: Final answer
    x = 223,210.67

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.