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Finding the Third Proportional to 51,267 and 80,261

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Solution

The third proportional to 51,267 and 80,261 is: 125,652.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,267 : 80,261 = 80,261 : x
  2. Step 2: Convert to fraction form
    51,267/80,261 = 80,261/x
  3. Step 3: Cross multiply
    51,267x = 80,261 × 80,261
  4. Step 4: Simplify right side
    51,267x = 6,441,828,121
  5. Step 5: Solve for x
    x = 6,441,828,121/51,267
  6. Step 6: Final answer
    x = 125,652.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.