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Finding the Third Proportional to 38,972 and 85,234

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Solution

The third proportional to 38,972 and 85,234 is: 186,411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,972 : 85,234 = 85,234 : x
  2. Step 2: Convert to fraction form
    38,972/85,234 = 85,234/x
  3. Step 3: Cross multiply
    38,972x = 85,234 × 85,234
  4. Step 4: Simplify right side
    38,972x = 7,264,834,756
  5. Step 5: Solve for x
    x = 7,264,834,756/38,972
  6. Step 6: Final answer
    x = 186,411.65

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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.