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Finding the Third Proportional to 49,269 and 106,314

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Solution

The third proportional to 49,269 and 106,314 is: 229,407.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,269 : 106,314 = 106,314 : x
  2. Step 2: Convert to fraction form
    49,269/106,314 = 106,314/x
  3. Step 3: Cross multiply
    49,269x = 106,314 × 106,314
  4. Step 4: Simplify right side
    49,269x = 11,302,666,596
  5. Step 5: Solve for x
    x = 11,302,666,596/49,269
  6. Step 6: Final answer
    x = 229,407.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.