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Finding the Third Proportional to 41,249 and 89,014

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Solution

The third proportional to 41,249 and 89,014 is: 192,089.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,249 : 89,014 = 89,014 : x
  2. Step 2: Convert to fraction form
    41,249/89,014 = 89,014/x
  3. Step 3: Cross multiply
    41,249x = 89,014 × 89,014
  4. Step 4: Simplify right side
    41,249x = 7,923,492,196
  5. Step 5: Solve for x
    x = 7,923,492,196/41,249
  6. Step 6: Final answer
    x = 192,089.32

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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.