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Finding the Third Proportional to 23,234 and 55,205

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Solution

The third proportional to 23,234 and 55,205 is: 131,169.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,234 : 55,205 = 55,205 : x
  2. Step 2: Convert to fraction form
    23,234/55,205 = 55,205/x
  3. Step 3: Cross multiply
    23,234x = 55,205 × 55,205
  4. Step 4: Simplify right side
    23,234x = 3,047,592,025
  5. Step 5: Solve for x
    x = 3,047,592,025/23,234
  6. Step 6: Final answer
    x = 131,169.49

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.