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Finding the Third Proportional to 36,102 and 79,178.25

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Solution

The third proportional to 36,102 and 79,178.25 is: 173,652.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,102 : 79,178.25 = 79,178.25 : x
  2. Step 2: Convert to fraction form
    36,102/79,178.25 = 79,178.25/x
  3. Step 3: Cross multiply
    36,102x = 79,178.25 × 79,178.25
  4. Step 4: Simplify right side
    36,102x = 6,269,195,273.06
  5. Step 5: Solve for x
    x = 6,269,195,273.06/36,102
  6. Step 6: Final answer
    x = 173,652.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.