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Finding the Third Proportional to 91,874 and 189,652

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Solution

The third proportional to 91,874 and 189,652 is: 391,491.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,874 : 189,652 = 189,652 : x
  2. Step 2: Convert to fraction form
    91,874/189,652 = 189,652/x
  3. Step 3: Cross multiply
    91,874x = 189,652 × 189,652
  4. Step 4: Simplify right side
    91,874x = 35,967,881,104
  5. Step 5: Solve for x
    x = 35,967,881,104/91,874
  6. Step 6: Final answer
    x = 391,491.40

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.