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Finding the Third Proportional to 112,727 and 168,733

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Solution

The third proportional to 112,727 and 168,733 is: 252,564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,727 : 168,733 = 168,733 : x
  2. Step 2: Convert to fraction form
    112,727/168,733 = 168,733/x
  3. Step 3: Cross multiply
    112,727x = 168,733 × 168,733
  4. Step 4: Simplify right side
    112,727x = 28,470,825,289
  5. Step 5: Solve for x
    x = 28,470,825,289/112,727
  6. Step 6: Final answer
    x = 252,564.38

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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.