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Finding the Third Proportional to 41,515 and 85,983

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Solution

The third proportional to 41,515 and 85,983 is: 178,082.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,515 : 85,983 = 85,983 : x
  2. Step 2: Convert to fraction form
    41,515/85,983 = 85,983/x
  3. Step 3: Cross multiply
    41,515x = 85,983 × 85,983
  4. Step 4: Simplify right side
    41,515x = 7,393,076,289
  5. Step 5: Solve for x
    x = 7,393,076,289/41,515
  6. Step 6: Final answer
    x = 178,082.05

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.