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Finding the Third Proportional to 38,965 and 85,219

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Solution

The third proportional to 38,965 and 85,219 is: 186,379.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,965 : 85,219 = 85,219 : x
  2. Step 2: Convert to fraction form
    38,965/85,219 = 85,219/x
  3. Step 3: Cross multiply
    38,965x = 85,219 × 85,219
  4. Step 4: Simplify right side
    38,965x = 7,262,277,961
  5. Step 5: Solve for x
    x = 7,262,277,961/38,965
  6. Step 6: Final answer
    x = 186,379.52

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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.