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Finding the Third Proportional to 65,280 and 140,936

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Solution

The third proportional to 65,280 and 140,936 is: 304,273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,280 : 140,936 = 140,936 : x
  2. Step 2: Convert to fraction form
    65,280/140,936 = 140,936/x
  3. Step 3: Cross multiply
    65,280x = 140,936 × 140,936
  4. Step 4: Simplify right side
    65,280x = 19,862,956,096
  5. Step 5: Solve for x
    x = 19,862,956,096/65,280
  6. Step 6: Final answer
    x = 304,273.22

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.