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Finding the Third Proportional to 74,401 and 114,885

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Solution

The third proportional to 74,401 and 114,885 is: 177,397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,401 : 114,885 = 114,885 : x
  2. Step 2: Convert to fraction form
    74,401/114,885 = 114,885/x
  3. Step 3: Cross multiply
    74,401x = 114,885 × 114,885
  4. Step 4: Simplify right side
    74,401x = 13,198,563,225
  5. Step 5: Solve for x
    x = 13,198,563,225/74,401
  6. Step 6: Final answer
    x = 177,397.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.