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Finding the Third Proportional to 36,158 and 84,475

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Solution

The third proportional to 36,158 and 84,475 is: 197,356.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,158 : 84,475 = 84,475 : x
  2. Step 2: Convert to fraction form
    36,158/84,475 = 84,475/x
  3. Step 3: Cross multiply
    36,158x = 84,475 × 84,475
  4. Step 4: Simplify right side
    36,158x = 7,136,025,625
  5. Step 5: Solve for x
    x = 7,136,025,625/36,158
  6. Step 6: Final answer
    x = 197,356.76

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.