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Finding the Third Proportional to 105,518 and 163,166

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Solution

The third proportional to 105,518 and 163,166 is: 252,309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,518 : 163,166 = 163,166 : x
  2. Step 2: Convert to fraction form
    105,518/163,166 = 163,166/x
  3. Step 3: Cross multiply
    105,518x = 163,166 × 163,166
  4. Step 4: Simplify right side
    105,518x = 26,623,143,556
  5. Step 5: Solve for x
    x = 26,623,143,556/105,518
  6. Step 6: Final answer
    x = 252,309.02

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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.