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Finding the Third Proportional to 102,161 and 216,608

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Solution

The third proportional to 102,161 and 216,608 is: 459,265.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,161 : 216,608 = 216,608 : x
  2. Step 2: Convert to fraction form
    102,161/216,608 = 216,608/x
  3. Step 3: Cross multiply
    102,161x = 216,608 × 216,608
  4. Step 4: Simplify right side
    102,161x = 46,919,025,664
  5. Step 5: Solve for x
    x = 46,919,025,664/102,161
  6. Step 6: Final answer
    x = 459,265.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.