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Finding the Third Proportional to 89,906.20 and 135,089.96

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Solution

The third proportional to 89,906.20 and 135,089.96 is: 202,981.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,906.20 : 135,089.96 = 135,089.96 : x
  2. Step 2: Convert to fraction form
    89,906.20/135,089.96 = 135,089.96/x
  3. Step 3: Cross multiply
    89,906.20x = 135,089.96 × 135,089.96
  4. Step 4: Simplify right side
    89,906.20x = 18,249,298,601.49
  5. Step 5: Solve for x
    x = 18,249,298,601.49/89,906.20
  6. Step 6: Final answer
    x = 202,981.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.