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Finding the Third Proportional to 129,244 and 189,606

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Solution

The third proportional to 129,244 and 189,606 is: 278,159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,244 : 189,606 = 189,606 : x
  2. Step 2: Convert to fraction form
    129,244/189,606 = 189,606/x
  3. Step 3: Cross multiply
    129,244x = 189,606 × 189,606
  4. Step 4: Simplify right side
    129,244x = 35,950,435,236
  5. Step 5: Solve for x
    x = 35,950,435,236/129,244
  6. Step 6: Final answer
    x = 278,159.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.