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Finding the Third Proportional to 75,666 and 164,436

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Solution

The third proportional to 75,666 and 164,436 is: 357,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,666 : 164,436 = 164,436 : x
  2. Step 2: Convert to fraction form
    75,666/164,436 = 164,436/x
  3. Step 3: Cross multiply
    75,666x = 164,436 × 164,436
  4. Step 4: Simplify right side
    75,666x = 27,039,198,096
  5. Step 5: Solve for x
    x = 27,039,198,096/75,666
  6. Step 6: Final answer
    x = 357,349.38

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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.