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Finding the Third Proportional to 36,160.50 and 75,054

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Solution

The third proportional to 36,160.50 and 75,054 is: 155,780.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,160.50 : 75,054 = 75,054 : x
  2. Step 2: Convert to fraction form
    36,160.50/75,054 = 75,054/x
  3. Step 3: Cross multiply
    36,160.50x = 75,054 × 75,054
  4. Step 4: Simplify right side
    36,160.50x = 5,633,102,916
  5. Step 5: Solve for x
    x = 5,633,102,916/36,160.50
  6. Step 6: Final answer
    x = 155,780.56

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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.