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Finding the Third Proportional to 126,690.75 and 275,433

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Solution

The third proportional to 126,690.75 and 275,433 is: 598,807.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,690.75 : 275,433 = 275,433 : x
  2. Step 2: Convert to fraction form
    126,690.75/275,433 = 275,433/x
  3. Step 3: Cross multiply
    126,690.75x = 275,433 × 275,433
  4. Step 4: Simplify right side
    126,690.75x = 75,863,337,489
  5. Step 5: Solve for x
    x = 75,863,337,489/126,690.75
  6. Step 6: Final answer
    x = 598,807.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.