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Finding the Third Proportional to 112,642 and 168,630

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Solution

The third proportional to 112,642 and 168,630 is: 252,446.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,642 : 168,630 = 168,630 : x
  2. Step 2: Convert to fraction form
    112,642/168,630 = 168,630/x
  3. Step 3: Cross multiply
    112,642x = 168,630 × 168,630
  4. Step 4: Simplify right side
    112,642x = 28,436,076,900
  5. Step 5: Solve for x
    x = 28,436,076,900/112,642
  6. Step 6: Final answer
    x = 252,446.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.