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Finding the Third Proportional to 27,269 and 56,281

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Solution

The third proportional to 27,269 and 56,281 is: 116,159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,269 : 56,281 = 56,281 : x
  2. Step 2: Convert to fraction form
    27,269/56,281 = 56,281/x
  3. Step 3: Cross multiply
    27,269x = 56,281 × 56,281
  4. Step 4: Simplify right side
    27,269x = 3,167,550,961
  5. Step 5: Solve for x
    x = 3,167,550,961/27,269
  6. Step 6: Final answer
    x = 116,159.41

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.