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Finding the Third Proportional to 58,836 and 126,096

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Solution

The third proportional to 58,836 and 126,096 is: 270,246.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,836 : 126,096 = 126,096 : x
  2. Step 2: Convert to fraction form
    58,836/126,096 = 126,096/x
  3. Step 3: Cross multiply
    58,836x = 126,096 × 126,096
  4. Step 4: Simplify right side
    58,836x = 15,900,201,216
  5. Step 5: Solve for x
    x = 15,900,201,216/58,836
  6. Step 6: Final answer
    x = 270,246.13

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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.