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Finding the Third Proportional to 36,230 and 77,815

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Solution

The third proportional to 36,230 and 77,815 is: 167,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,230 : 77,815 = 77,815 : x
  2. Step 2: Convert to fraction form
    36,230/77,815 = 77,815/x
  3. Step 3: Cross multiply
    36,230x = 77,815 × 77,815
  4. Step 4: Simplify right side
    36,230x = 6,055,174,225
  5. Step 5: Solve for x
    x = 6,055,174,225/36,230
  6. Step 6: Final answer
    x = 167,131.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.