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Finding the Third Proportional to 58,596 and 126,186

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Solution

The third proportional to 58,596 and 126,186 is: 271,740.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,596 : 126,186 = 126,186 : x
  2. Step 2: Convert to fraction form
    58,596/126,186 = 126,186/x
  3. Step 3: Cross multiply
    58,596x = 126,186 × 126,186
  4. Step 4: Simplify right side
    58,596x = 15,922,906,596
  5. Step 5: Solve for x
    x = 15,922,906,596/58,596
  6. Step 6: Final answer
    x = 271,740.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.