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Finding the Third Proportional to 102,161 and 158,556

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Solution

The third proportional to 102,161 and 158,556 is: 246,082.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,161 : 158,556 = 158,556 : x
  2. Step 2: Convert to fraction form
    102,161/158,556 = 158,556/x
  3. Step 3: Cross multiply
    102,161x = 158,556 × 158,556
  4. Step 4: Simplify right side
    102,161x = 25,140,005,136
  5. Step 5: Solve for x
    x = 25,140,005,136/102,161
  6. Step 6: Final answer
    x = 246,082.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.