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Finding the Third Proportional to 125,086.50 and 255,267

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Solution

The third proportional to 125,086.50 and 255,267 is: 520,929.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,086.50 : 255,267 = 255,267 : x
  2. Step 2: Convert to fraction form
    125,086.50/255,267 = 255,267/x
  3. Step 3: Cross multiply
    125,086.50x = 255,267 × 255,267
  4. Step 4: Simplify right side
    125,086.50x = 65,161,241,289
  5. Step 5: Solve for x
    x = 65,161,241,289/125,086.50
  6. Step 6: Final answer
    x = 520,929.45

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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.