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Finding the Third Proportional to 36,189 and 79,741.50

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Solution

The third proportional to 36,189 and 79,741.50 is: 175,708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,189 : 79,741.50 = 79,741.50 : x
  2. Step 2: Convert to fraction form
    36,189/79,741.50 = 79,741.50/x
  3. Step 3: Cross multiply
    36,189x = 79,741.50 × 79,741.50
  4. Step 4: Simplify right side
    36,189x = 6,358,706,822.25
  5. Step 5: Solve for x
    x = 6,358,706,822.25/36,189
  6. Step 6: Final answer
    x = 175,708.28

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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.