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Finding the Third Proportional to 75,760 and 164,624

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Solution

The third proportional to 75,760 and 164,624 is: 357,722.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,760 : 164,624 = 164,624 : x
  2. Step 2: Convert to fraction form
    75,760/164,624 = 164,624/x
  3. Step 3: Cross multiply
    75,760x = 164,624 × 164,624
  4. Step 4: Simplify right side
    75,760x = 27,101,061,376
  5. Step 5: Solve for x
    x = 27,101,061,376/75,760
  6. Step 6: Final answer
    x = 357,722.56

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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.