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Finding the Third Proportional to 59,249 and 126,634

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Solution

The third proportional to 59,249 and 126,634 is: 270,657.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,249 : 126,634 = 126,634 : x
  2. Step 2: Convert to fraction form
    59,249/126,634 = 126,634/x
  3. Step 3: Cross multiply
    59,249x = 126,634 × 126,634
  4. Step 4: Simplify right side
    59,249x = 16,036,169,956
  5. Step 5: Solve for x
    x = 16,036,169,956/59,249
  6. Step 6: Final answer
    x = 270,657.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.