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Finding the Third Proportional to 75,669 and 164,442

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Solution

The third proportional to 75,669 and 164,442 is: 357,361.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,669 : 164,442 = 164,442 : x
  2. Step 2: Convert to fraction form
    75,669/164,442 = 164,442/x
  3. Step 3: Cross multiply
    75,669x = 164,442 × 164,442
  4. Step 4: Simplify right side
    75,669x = 27,041,171,364
  5. Step 5: Solve for x
    x = 27,041,171,364/75,669
  6. Step 6: Final answer
    x = 357,361.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.