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Finding the Third Proportional to 36,187.01 and 79,736.16

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Solution

The third proportional to 36,187.01 and 79,736.16 is: 175,694.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,187.01 : 79,736.16 = 79,736.16 : x
  2. Step 2: Convert to fraction form
    36,187.01/79,736.16 = 79,736.16/x
  3. Step 3: Cross multiply
    36,187.01x = 79,736.16 × 79,736.16
  4. Step 4: Simplify right side
    36,187.01x = 6,357,854,613.52
  5. Step 5: Solve for x
    x = 6,357,854,613.52/36,187.01
  6. Step 6: Final answer
    x = 175,694.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.