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Finding the Third Proportional to 74,816 and 164,392

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Solution

The third proportional to 74,816 and 164,392 is: 361,215.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,816 : 164,392 = 164,392 : x
  2. Step 2: Convert to fraction form
    74,816/164,392 = 164,392/x
  3. Step 3: Cross multiply
    74,816x = 164,392 × 164,392
  4. Step 4: Simplify right side
    74,816x = 27,024,729,664
  5. Step 5: Solve for x
    x = 27,024,729,664/74,816
  6. Step 6: Final answer
    x = 361,215.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.