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Finding the Third Proportional to 74,790 and 164,760

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Solution

The third proportional to 74,790 and 164,760 is: 362,961.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,790 : 164,760 = 164,760 : x
  2. Step 2: Convert to fraction form
    74,790/164,760 = 164,760/x
  3. Step 3: Cross multiply
    74,790x = 164,760 × 164,760
  4. Step 4: Simplify right side
    74,790x = 27,145,857,600
  5. Step 5: Solve for x
    x = 27,145,857,600/74,790
  6. Step 6: Final answer
    x = 362,961.06

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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.