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Finding the Third Proportional to 74,224 and 152,092

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Solution

The third proportional to 74,224 and 152,092 is: 311,650.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,224 : 152,092 = 152,092 : x
  2. Step 2: Convert to fraction form
    74,224/152,092 = 152,092/x
  3. Step 3: Cross multiply
    74,224x = 152,092 × 152,092
  4. Step 4: Simplify right side
    74,224x = 23,131,976,464
  5. Step 5: Solve for x
    x = 23,131,976,464/74,224
  6. Step 6: Final answer
    x = 311,650.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.