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Finding the Third Proportional to 65,118 and 140,190

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Solution

The third proportional to 65,118 and 140,190 is: 301,809.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,118 : 140,190 = 140,190 : x
  2. Step 2: Convert to fraction form
    65,118/140,190 = 140,190/x
  3. Step 3: Cross multiply
    65,118x = 140,190 × 140,190
  4. Step 4: Simplify right side
    65,118x = 19,653,236,100
  5. Step 5: Solve for x
    x = 19,653,236,100/65,118
  6. Step 6: Final answer
    x = 301,809.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.