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Finding the Third Proportional to 65,236 and 142,976

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Solution

The third proportional to 65,236 and 142,976 is: 313,356.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,236 : 142,976 = 142,976 : x
  2. Step 2: Convert to fraction form
    65,236/142,976 = 142,976/x
  3. Step 3: Cross multiply
    65,236x = 142,976 × 142,976
  4. Step 4: Simplify right side
    65,236x = 20,442,136,576
  5. Step 5: Solve for x
    x = 20,442,136,576/65,236
  6. Step 6: Final answer
    x = 313,356.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.