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Finding the Third Proportional to 105,424 and 163,062

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Solution

The third proportional to 105,424 and 163,062 is: 252,212.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,424 : 163,062 = 163,062 : x
  2. Step 2: Convert to fraction form
    105,424/163,062 = 163,062/x
  3. Step 3: Cross multiply
    105,424x = 163,062 × 163,062
  4. Step 4: Simplify right side
    105,424x = 26,589,215,844
  5. Step 5: Solve for x
    x = 26,589,215,844/105,424
  6. Step 6: Final answer
    x = 252,212.17

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Why These Related Problems?

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