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Finding the Third Proportional to 74,881 and 164,738

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Solution

The third proportional to 74,881 and 164,738 is: 362,423.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,881 : 164,738 = 164,738 : x
  2. Step 2: Convert to fraction form
    74,881/164,738 = 164,738/x
  3. Step 3: Cross multiply
    74,881x = 164,738 × 164,738
  4. Step 4: Simplify right side
    74,881x = 27,138,608,644
  5. Step 5: Solve for x
    x = 27,138,608,644/74,881
  6. Step 6: Final answer
    x = 362,423.16

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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.