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Finding the Third Proportional to 49,252 and 107,736

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Solution

The third proportional to 49,252 and 107,736 is: 235,666.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,252 : 107,736 = 107,736 : x
  2. Step 2: Convert to fraction form
    49,252/107,736 = 107,736/x
  3. Step 3: Cross multiply
    49,252x = 107,736 × 107,736
  4. Step 4: Simplify right side
    49,252x = 11,607,045,696
  5. Step 5: Solve for x
    x = 11,607,045,696/49,252
  6. Step 6: Final answer
    x = 235,666.48

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.