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Finding the Third Proportional to 125,958 and 275,028

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Solution

The third proportional to 125,958 and 275,028 is: 600,520.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,958 : 275,028 = 275,028 : x
  2. Step 2: Convert to fraction form
    125,958/275,028 = 275,028/x
  3. Step 3: Cross multiply
    125,958x = 275,028 × 275,028
  4. Step 4: Simplify right side
    125,958x = 75,640,400,784
  5. Step 5: Solve for x
    x = 75,640,400,784/125,958
  6. Step 6: Final answer
    x = 600,520.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.