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Finding the Third Proportional to 101,402 and 134,571

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Solution

The third proportional to 101,402 and 134,571 is: 178,589.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,402 : 134,571 = 134,571 : x
  2. Step 2: Convert to fraction form
    101,402/134,571 = 134,571/x
  3. Step 3: Cross multiply
    101,402x = 134,571 × 134,571
  4. Step 4: Simplify right side
    101,402x = 18,109,354,041
  5. Step 5: Solve for x
    x = 18,109,354,041/101,402
  6. Step 6: Final answer
    x = 178,589.71

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.