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Finding the Third Proportional to 75,624 and 164,864

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Solution

The third proportional to 75,624 and 164,864 is: 359,411.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,624 : 164,864 = 164,864 : x
  2. Step 2: Convert to fraction form
    75,624/164,864 = 164,864/x
  3. Step 3: Cross multiply
    75,624x = 164,864 × 164,864
  4. Step 4: Simplify right side
    75,624x = 27,180,138,496
  5. Step 5: Solve for x
    x = 27,180,138,496/75,624
  6. Step 6: Final answer
    x = 359,411.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.