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Finding the Third Proportional to 105,422 and 163,059

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Solution

The third proportional to 105,422 and 163,059 is: 252,207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,422 : 163,059 = 163,059 : x
  2. Step 2: Convert to fraction form
    105,422/163,059 = 163,059/x
  3. Step 3: Cross multiply
    105,422x = 163,059 × 163,059
  4. Step 4: Simplify right side
    105,422x = 26,588,237,481
  5. Step 5: Solve for x
    x = 26,588,237,481/105,422
  6. Step 6: Final answer
    x = 252,207.67

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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.