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Finding the Third Proportional to 52,267 and 111,276

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Solution

The third proportional to 52,267 and 111,276 is: 236,905.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,267 : 111,276 = 111,276 : x
  2. Step 2: Convert to fraction form
    52,267/111,276 = 111,276/x
  3. Step 3: Cross multiply
    52,267x = 111,276 × 111,276
  4. Step 4: Simplify right side
    52,267x = 12,382,348,176
  5. Step 5: Solve for x
    x = 12,382,348,176/52,267
  6. Step 6: Final answer
    x = 236,905.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.