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Finding the Third Proportional to 112,664 and 168,642

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Solution

The third proportional to 112,664 and 168,642 is: 252,433.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,664 : 168,642 = 168,642 : x
  2. Step 2: Convert to fraction form
    112,664/168,642 = 168,642/x
  3. Step 3: Cross multiply
    112,664x = 168,642 × 168,642
  4. Step 4: Simplify right side
    112,664x = 28,440,124,164
  5. Step 5: Solve for x
    x = 28,440,124,164/112,664
  6. Step 6: Final answer
    x = 252,433.11

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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.