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Finding the Third Proportional to 74,512 and 157,632

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Solution

The third proportional to 74,512 and 157,632 is: 333,474.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,512 : 157,632 = 157,632 : x
  2. Step 2: Convert to fraction form
    74,512/157,632 = 157,632/x
  3. Step 3: Cross multiply
    74,512x = 157,632 × 157,632
  4. Step 4: Simplify right side
    74,512x = 24,847,847,424
  5. Step 5: Solve for x
    x = 24,847,847,424/74,512
  6. Step 6: Final answer
    x = 333,474.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.