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Finding the Third Proportional to 73,924 and 162,166

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Solution

The third proportional to 73,924 and 162,166 is: 355,741.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,924 : 162,166 = 162,166 : x
  2. Step 2: Convert to fraction form
    73,924/162,166 = 162,166/x
  3. Step 3: Cross multiply
    73,924x = 162,166 × 162,166
  4. Step 4: Simplify right side
    73,924x = 26,297,811,556
  5. Step 5: Solve for x
    x = 26,297,811,556/73,924
  6. Step 6: Final answer
    x = 355,741.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.