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Finding the Third Proportional to 43,249 and 93,164

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Solution

The third proportional to 43,249 and 93,164 is: 200,687.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,249 : 93,164 = 93,164 : x
  2. Step 2: Convert to fraction form
    43,249/93,164 = 93,164/x
  3. Step 3: Cross multiply
    43,249x = 93,164 × 93,164
  4. Step 4: Simplify right side
    43,249x = 8,679,530,896
  5. Step 5: Solve for x
    x = 8,679,530,896/43,249
  6. Step 6: Final answer
    x = 200,687.44

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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.