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Finding the Third Proportional to 65,794 and 144,710

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Solution

The third proportional to 65,794 and 144,710 is: 318,281.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,794 : 144,710 = 144,710 : x
  2. Step 2: Convert to fraction form
    65,794/144,710 = 144,710/x
  3. Step 3: Cross multiply
    65,794x = 144,710 × 144,710
  4. Step 4: Simplify right side
    65,794x = 20,940,984,100
  5. Step 5: Solve for x
    x = 20,940,984,100/65,794
  6. Step 6: Final answer
    x = 318,281.06

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.