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Finding the Third Proportional to 69,184 and 149,696

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Solution

The third proportional to 69,184 and 149,696 is: 323,902.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,184 : 149,696 = 149,696 : x
  2. Step 2: Convert to fraction form
    69,184/149,696 = 149,696/x
  3. Step 3: Cross multiply
    69,184x = 149,696 × 149,696
  4. Step 4: Simplify right side
    69,184x = 22,408,892,416
  5. Step 5: Solve for x
    x = 22,408,892,416/69,184
  6. Step 6: Final answer
    x = 323,902.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.