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Finding the Third Proportional to 41,253 and 89,094

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Solution

The third proportional to 41,253 and 89,094 is: 192,416.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,253 : 89,094 = 89,094 : x
  2. Step 2: Convert to fraction form
    41,253/89,094 = 89,094/x
  3. Step 3: Cross multiply
    41,253x = 89,094 × 89,094
  4. Step 4: Simplify right side
    41,253x = 7,937,740,836
  5. Step 5: Solve for x
    x = 7,937,740,836/41,253
  6. Step 6: Final answer
    x = 192,416.09

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Why These Related Problems?

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