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Finding the Third Proportional to 59,643 and 126,183

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Solution

The third proportional to 59,643 and 126,183 is: 266,957.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,643 : 126,183 = 126,183 : x
  2. Step 2: Convert to fraction form
    59,643/126,183 = 126,183/x
  3. Step 3: Cross multiply
    59,643x = 126,183 × 126,183
  4. Step 4: Simplify right side
    59,643x = 15,922,149,489
  5. Step 5: Solve for x
    x = 15,922,149,489/59,643
  6. Step 6: Final answer
    x = 266,957.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.