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Finding the Third Proportional to 49,960 and 109,736

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Solution

The third proportional to 49,960 and 109,736 is: 241,032.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,960 : 109,736 = 109,736 : x
  2. Step 2: Convert to fraction form
    49,960/109,736 = 109,736/x
  3. Step 3: Cross multiply
    49,960x = 109,736 × 109,736
  4. Step 4: Simplify right side
    49,960x = 12,041,989,696
  5. Step 5: Solve for x
    x = 12,041,989,696/49,960
  6. Step 6: Final answer
    x = 241,032.62

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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.