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Finding the Third Proportional to 36,024 and 73,056

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Solution

The third proportional to 36,024 and 73,056 is: 148,156.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,024 : 73,056 = 73,056 : x
  2. Step 2: Convert to fraction form
    36,024/73,056 = 73,056/x
  3. Step 3: Cross multiply
    36,024x = 73,056 × 73,056
  4. Step 4: Simplify right side
    36,024x = 5,337,179,136
  5. Step 5: Solve for x
    x = 5,337,179,136/36,024
  6. Step 6: Final answer
    x = 148,156.21

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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.