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Finding the Third Proportional to 114,736 and 252,096

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Solution

The third proportional to 114,736 and 252,096 is: 553,901.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,736 : 252,096 = 252,096 : x
  2. Step 2: Convert to fraction form
    114,736/252,096 = 252,096/x
  3. Step 3: Cross multiply
    114,736x = 252,096 × 252,096
  4. Step 4: Simplify right side
    114,736x = 63,552,393,216
  5. Step 5: Solve for x
    x = 63,552,393,216/114,736
  6. Step 6: Final answer
    x = 553,901.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.