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Finding the Third Proportional to 89,262 and 189,972

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Solution

The third proportional to 89,262 and 189,972 is: 404,308.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,262 : 189,972 = 189,972 : x
  2. Step 2: Convert to fraction form
    89,262/189,972 = 189,972/x
  3. Step 3: Cross multiply
    89,262x = 189,972 × 189,972
  4. Step 4: Simplify right side
    89,262x = 36,089,360,784
  5. Step 5: Solve for x
    x = 36,089,360,784/89,262
  6. Step 6: Final answer
    x = 404,308.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.