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Finding the Third Proportional to 74,892 and 164,848

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Solution

The third proportional to 74,892 and 164,848 is: 362,854.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,892 : 164,848 = 164,848 : x
  2. Step 2: Convert to fraction form
    74,892/164,848 = 164,848/x
  3. Step 3: Cross multiply
    74,892x = 164,848 × 164,848
  4. Step 4: Simplify right side
    74,892x = 27,174,863,104
  5. Step 5: Solve for x
    x = 27,174,863,104/74,892
  6. Step 6: Final answer
    x = 362,854.02

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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.