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Finding the Third Proportional to 36,248 and 73,515

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Solution

The third proportional to 36,248 and 73,515 is: 149,096.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,248 : 73,515 = 73,515 : x
  2. Step 2: Convert to fraction form
    36,248/73,515 = 73,515/x
  3. Step 3: Cross multiply
    36,248x = 73,515 × 73,515
  4. Step 4: Simplify right side
    36,248x = 5,404,455,225
  5. Step 5: Solve for x
    x = 5,404,455,225/36,248
  6. Step 6: Final answer
    x = 149,096.65

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.