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Finding the Third Proportional to 74,109.38 and 164,799

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Solution

The third proportional to 74,109.38 and 164,799 is: 366,467.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,109.38 : 164,799 = 164,799 : x
  2. Step 2: Convert to fraction form
    74,109.38/164,799 = 164,799/x
  3. Step 3: Cross multiply
    74,109.38x = 164,799 × 164,799
  4. Step 4: Simplify right side
    74,109.38x = 27,158,710,401
  5. Step 5: Solve for x
    x = 27,158,710,401/74,109.38
  6. Step 6: Final answer
    x = 366,467.95

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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.