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Finding the Third Proportional to 22,233 and 53,151

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Solution

The third proportional to 22,233 and 53,151 is: 127,064.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,233 : 53,151 = 53,151 : x
  2. Step 2: Convert to fraction form
    22,233/53,151 = 53,151/x
  3. Step 3: Cross multiply
    22,233x = 53,151 × 53,151
  4. Step 4: Simplify right side
    22,233x = 2,825,028,801
  5. Step 5: Solve for x
    x = 2,825,028,801/22,233
  6. Step 6: Final answer
    x = 127,064.67

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.