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Finding the Third Proportional to 126,956 and 186,504

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Solution

The third proportional to 126,956 and 186,504 is: 273,982.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,956 : 186,504 = 186,504 : x
  2. Step 2: Convert to fraction form
    126,956/186,504 = 186,504/x
  3. Step 3: Cross multiply
    126,956x = 186,504 × 186,504
  4. Step 4: Simplify right side
    126,956x = 34,783,742,016
  5. Step 5: Solve for x
    x = 34,783,742,016/126,956
  6. Step 6: Final answer
    x = 273,982.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.