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Finding the Third Proportional to 59,596 and 126,104

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Solution

The third proportional to 59,596 and 126,104 is: 266,833.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,596 : 126,104 = 126,104 : x
  2. Step 2: Convert to fraction form
    59,596/126,104 = 126,104/x
  3. Step 3: Cross multiply
    59,596x = 126,104 × 126,104
  4. Step 4: Simplify right side
    59,596x = 15,902,218,816
  5. Step 5: Solve for x
    x = 15,902,218,816/59,596
  6. Step 6: Final answer
    x = 266,833.66

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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.