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Finding the Third Proportional to 103,708.69 and 156,517.31

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Solution

The third proportional to 103,708.69 and 156,517.31 is: 236,216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,708.69 : 156,517.31 = 156,517.31 : x
  2. Step 2: Convert to fraction form
    103,708.69/156,517.31 = 156,517.31/x
  3. Step 3: Cross multiply
    103,708.69x = 156,517.31 × 156,517.31
  4. Step 4: Simplify right side
    103,708.69x = 24,497,669,112.22
  5. Step 5: Solve for x
    x = 24,497,669,112.22/103,708.69
  6. Step 6: Final answer
    x = 236,216.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.