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Finding the Third Proportional to 63,614 and 104,736

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Solution

The third proportional to 63,614 and 104,736 is: 172,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,614 : 104,736 = 104,736 : x
  2. Step 2: Convert to fraction form
    63,614/104,736 = 104,736/x
  3. Step 3: Cross multiply
    63,614x = 104,736 × 104,736
  4. Step 4: Simplify right side
    63,614x = 10,969,629,696
  5. Step 5: Solve for x
    x = 10,969,629,696/63,614
  6. Step 6: Final answer
    x = 172,440.50

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.