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Finding the Third Proportional to 59,804 and 126,896

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Solution

The third proportional to 59,804 and 126,896 is: 269,256.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,804 : 126,896 = 126,896 : x
  2. Step 2: Convert to fraction form
    59,804/126,896 = 126,896/x
  3. Step 3: Cross multiply
    59,804x = 126,896 × 126,896
  4. Step 4: Simplify right side
    59,804x = 16,102,594,816
  5. Step 5: Solve for x
    x = 16,102,594,816/59,804
  6. Step 6: Final answer
    x = 269,256.15

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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.