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Finding the Third Proportional to 125,086 and 255,265

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Solution

The third proportional to 125,086 and 255,265 is: 520,923.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,086 : 255,265 = 255,265 : x
  2. Step 2: Convert to fraction form
    125,086/255,265 = 255,265/x
  3. Step 3: Cross multiply
    125,086x = 255,265 × 255,265
  4. Step 4: Simplify right side
    125,086x = 65,160,220,225
  5. Step 5: Solve for x
    x = 65,160,220,225/125,086
  6. Step 6: Final answer
    x = 520,923.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.