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Finding the Third Proportional to 22,170 and 52,166

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Solution

The third proportional to 22,170 and 52,166 is: 122,746.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,170 : 52,166 = 52,166 : x
  2. Step 2: Convert to fraction form
    22,170/52,166 = 52,166/x
  3. Step 3: Cross multiply
    22,170x = 52,166 × 52,166
  4. Step 4: Simplify right side
    22,170x = 2,721,291,556
  5. Step 5: Solve for x
    x = 2,721,291,556/22,170
  6. Step 6: Final answer
    x = 122,746.57

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.