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Finding the Third Proportional to 89,765.72 and 136,513.69

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Solution

The third proportional to 89,765.72 and 136,513.69 is: 207,606.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,765.72 : 136,513.69 = 136,513.69 : x
  2. Step 2: Convert to fraction form
    89,765.72/136,513.69 = 136,513.69/x
  3. Step 3: Cross multiply
    89,765.72x = 136,513.69 × 136,513.69
  4. Step 4: Simplify right side
    89,765.72x = 18,635,986,874.85
  5. Step 5: Solve for x
    x = 18,635,986,874.85/89,765.72
  6. Step 6: Final answer
    x = 207,606.95

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.