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Finding the Third Proportional to 51,314 and 110,269

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Solution

The third proportional to 51,314 and 110,269 is: 236,957.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,314 : 110,269 = 110,269 : x
  2. Step 2: Convert to fraction form
    51,314/110,269 = 110,269/x
  3. Step 3: Cross multiply
    51,314x = 110,269 × 110,269
  4. Step 4: Simplify right side
    51,314x = 12,159,252,361
  5. Step 5: Solve for x
    x = 12,159,252,361/51,314
  6. Step 6: Final answer
    x = 236,957.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.