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Finding the Third Proportional to 59,236 and 126,607

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Solution

The third proportional to 59,236 and 126,607 is: 270,601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,236 : 126,607 = 126,607 : x
  2. Step 2: Convert to fraction form
    59,236/126,607 = 126,607/x
  3. Step 3: Cross multiply
    59,236x = 126,607 × 126,607
  4. Step 4: Simplify right side
    59,236x = 16,029,332,449
  5. Step 5: Solve for x
    x = 16,029,332,449/59,236
  6. Step 6: Final answer
    x = 270,601.20

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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.