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Finding the Third Proportional to 74,178 and 164,941

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Solution

The third proportional to 74,178 and 164,941 is: 366,760.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,178 : 164,941 = 164,941 : x
  2. Step 2: Convert to fraction form
    74,178/164,941 = 164,941/x
  3. Step 3: Cross multiply
    74,178x = 164,941 × 164,941
  4. Step 4: Simplify right side
    74,178x = 27,205,533,481
  5. Step 5: Solve for x
    x = 27,205,533,481/74,178
  6. Step 6: Final answer
    x = 366,760.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.