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Finding the Third Proportional to 105,424 and 163,063

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Solution

The third proportional to 105,424 and 163,063 is: 252,215.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,424 : 163,063 = 163,063 : x
  2. Step 2: Convert to fraction form
    105,424/163,063 = 163,063/x
  3. Step 3: Cross multiply
    105,424x = 163,063 × 163,063
  4. Step 4: Simplify right side
    105,424x = 26,589,541,969
  5. Step 5: Solve for x
    x = 26,589,541,969/105,424
  6. Step 6: Final answer
    x = 252,215.26

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.