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Finding the Third Proportional to 74,920 and 164,906

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Solution

The third proportional to 74,920 and 164,906 is: 362,973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,920 : 164,906 = 164,906 : x
  2. Step 2: Convert to fraction form
    74,920/164,906 = 164,906/x
  3. Step 3: Cross multiply
    74,920x = 164,906 × 164,906
  4. Step 4: Simplify right side
    74,920x = 27,193,988,836
  5. Step 5: Solve for x
    x = 27,193,988,836/74,920
  6. Step 6: Final answer
    x = 362,973.69

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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.