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Finding the Third Proportional to 132,921 and 189,589

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Solution

The third proportional to 132,921 and 189,589 is: 270,416.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,921 : 189,589 = 189,589 : x
  2. Step 2: Convert to fraction form
    132,921/189,589 = 189,589/x
  3. Step 3: Cross multiply
    132,921x = 189,589 × 189,589
  4. Step 4: Simplify right side
    132,921x = 35,943,988,921
  5. Step 5: Solve for x
    x = 35,943,988,921/132,921
  6. Step 6: Final answer
    x = 270,416.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.