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Finding the Third Proportional to 41,653 and 89,958

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Solution

The third proportional to 41,653 and 89,958 is: 194,282.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,653 : 89,958 = 89,958 : x
  2. Step 2: Convert to fraction form
    41,653/89,958 = 89,958/x
  3. Step 3: Cross multiply
    41,653x = 89,958 × 89,958
  4. Step 4: Simplify right side
    41,653x = 8,092,441,764
  5. Step 5: Solve for x
    x = 8,092,441,764/41,653
  6. Step 6: Final answer
    x = 194,282.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.