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Finding the Third Proportional to 38,825 and 83,187

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Solution

The third proportional to 38,825 and 83,187 is: 178,237.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,825 : 83,187 = 83,187 : x
  2. Step 2: Convert to fraction form
    38,825/83,187 = 83,187/x
  3. Step 3: Cross multiply
    38,825x = 83,187 × 83,187
  4. Step 4: Simplify right side
    38,825x = 6,920,076,969
  5. Step 5: Solve for x
    x = 6,920,076,969/38,825
  6. Step 6: Final answer
    x = 178,237.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.