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Finding the Third Proportional to 36,045 and 73,098

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Solution

The third proportional to 36,045 and 73,098 is: 148,240.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,045 : 73,098 = 73,098 : x
  2. Step 2: Convert to fraction form
    36,045/73,098 = 73,098/x
  3. Step 3: Cross multiply
    36,045x = 73,098 × 73,098
  4. Step 4: Simplify right side
    36,045x = 5,343,317,604
  5. Step 5: Solve for x
    x = 5,343,317,604/36,045
  6. Step 6: Final answer
    x = 148,240.19

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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.