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Finding the Third Proportional to 36,160.50 and 75,057

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Solution

The third proportional to 36,160.50 and 75,057 is: 155,793.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,160.50 : 75,057 = 75,057 : x
  2. Step 2: Convert to fraction form
    36,160.50/75,057 = 75,057/x
  3. Step 3: Cross multiply
    36,160.50x = 75,057 × 75,057
  4. Step 4: Simplify right side
    36,160.50x = 5,633,553,249
  5. Step 5: Solve for x
    x = 5,633,553,249/36,160.50
  6. Step 6: Final answer
    x = 155,793.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.