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Finding the Third Proportional to 113,825.25 and 163,969.31

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Solution

The third proportional to 113,825.25 and 163,969.31 is: 236,203.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,825.25 : 163,969.31 = 163,969.31 : x
  2. Step 2: Convert to fraction form
    113,825.25/163,969.31 = 163,969.31/x
  3. Step 3: Cross multiply
    113,825.25x = 163,969.31 × 163,969.31
  4. Step 4: Simplify right side
    113,825.25x = 26,885,935,441.72
  5. Step 5: Solve for x
    x = 26,885,935,441.72/113,825.25
  6. Step 6: Final answer
    x = 236,203.61

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.