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Finding the Third Proportional to 101,372 and 157,350

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Solution

The third proportional to 101,372 and 157,350 is: 244,239.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,372 : 157,350 = 157,350 : x
  2. Step 2: Convert to fraction form
    101,372/157,350 = 157,350/x
  3. Step 3: Cross multiply
    101,372x = 157,350 × 157,350
  4. Step 4: Simplify right side
    101,372x = 24,759,022,500
  5. Step 5: Solve for x
    x = 24,759,022,500/101,372
  6. Step 6: Final answer
    x = 244,239.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.