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Finding the Third Proportional to 89,488 and 134,225

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Solution

The third proportional to 89,488 and 134,225 is: 201,327.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,488 : 134,225 = 134,225 : x
  2. Step 2: Convert to fraction form
    89,488/134,225 = 134,225/x
  3. Step 3: Cross multiply
    89,488x = 134,225 × 134,225
  4. Step 4: Simplify right side
    89,488x = 18,016,350,625
  5. Step 5: Solve for x
    x = 18,016,350,625/89,488
  6. Step 6: Final answer
    x = 201,327.00

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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.