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Finding the Third Proportional to 52,264 and 114,933

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Solution

The third proportional to 52,264 and 114,933 is: 252,747.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,264 : 114,933 = 114,933 : x
  2. Step 2: Convert to fraction form
    52,264/114,933 = 114,933/x
  3. Step 3: Cross multiply
    52,264x = 114,933 × 114,933
  4. Step 4: Simplify right side
    52,264x = 13,209,594,489
  5. Step 5: Solve for x
    x = 13,209,594,489/52,264
  6. Step 6: Final answer
    x = 252,747.48

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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.