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Finding the Third Proportional to 27,166 and 57,282

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Solution

The third proportional to 27,166 and 57,282 is: 120,784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,166 : 57,282 = 57,282 : x
  2. Step 2: Convert to fraction form
    27,166/57,282 = 57,282/x
  3. Step 3: Cross multiply
    27,166x = 57,282 × 57,282
  4. Step 4: Simplify right side
    27,166x = 3,281,227,524
  5. Step 5: Solve for x
    x = 3,281,227,524/27,166
  6. Step 6: Final answer
    x = 120,784.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.