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Finding the Third Proportional to 112,633 and 168,614

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Solution

The third proportional to 112,633 and 168,614 is: 252,418.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,633 : 168,614 = 168,614 : x
  2. Step 2: Convert to fraction form
    112,633/168,614 = 168,614/x
  3. Step 3: Cross multiply
    112,633x = 168,614 × 168,614
  4. Step 4: Simplify right side
    112,633x = 28,430,680,996
  5. Step 5: Solve for x
    x = 28,430,680,996/112,633
  6. Step 6: Final answer
    x = 252,418.75

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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.