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Finding the Third Proportional to 69,018 and 149,322

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Solution

The third proportional to 69,018 and 149,322 is: 323,061.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,018 : 149,322 = 149,322 : x
  2. Step 2: Convert to fraction form
    69,018/149,322 = 149,322/x
  3. Step 3: Cross multiply
    69,018x = 149,322 × 149,322
  4. Step 4: Simplify right side
    69,018x = 22,297,059,684
  5. Step 5: Solve for x
    x = 22,297,059,684/69,018
  6. Step 6: Final answer
    x = 323,061.52

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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.