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Finding the Third Proportional to 102,589 and 157,469

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Solution

The third proportional to 102,589 and 157,469 is: 241,707.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,589 : 157,469 = 157,469 : x
  2. Step 2: Convert to fraction form
    102,589/157,469 = 157,469/x
  3. Step 3: Cross multiply
    102,589x = 157,469 × 157,469
  4. Step 4: Simplify right side
    102,589x = 24,796,485,961
  5. Step 5: Solve for x
    x = 24,796,485,961/102,589
  6. Step 6: Final answer
    x = 241,707.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.