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Finding the Third Proportional to 27,234 and 57,222

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Solution

The third proportional to 27,234 and 57,222 is: 120,230.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,234 : 57,222 = 57,222 : x
  2. Step 2: Convert to fraction form
    27,234/57,222 = 57,222/x
  3. Step 3: Cross multiply
    27,234x = 57,222 × 57,222
  4. Step 4: Simplify right side
    27,234x = 3,274,357,284
  5. Step 5: Solve for x
    x = 3,274,357,284/27,234
  6. Step 6: Final answer
    x = 120,230.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.