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Finding the Third Proportional to 126,086 and 257,932

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Solution

The third proportional to 126,086 and 257,932 is: 527,647.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,086 : 257,932 = 257,932 : x
  2. Step 2: Convert to fraction form
    126,086/257,932 = 257,932/x
  3. Step 3: Cross multiply
    126,086x = 257,932 × 257,932
  4. Step 4: Simplify right side
    126,086x = 66,528,916,624
  5. Step 5: Solve for x
    x = 66,528,916,624/126,086
  6. Step 6: Final answer
    x = 527,647.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.