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Finding the Third Proportional to 106,372 and 157,456

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Solution

The third proportional to 106,372 and 157,456 is: 233,072.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,372 : 157,456 = 157,456 : x
  2. Step 2: Convert to fraction form
    106,372/157,456 = 157,456/x
  3. Step 3: Cross multiply
    106,372x = 157,456 × 157,456
  4. Step 4: Simplify right side
    106,372x = 24,792,391,936
  5. Step 5: Solve for x
    x = 24,792,391,936/106,372
  6. Step 6: Final answer
    x = 233,072.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.