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Finding the Third Proportional to 66,096 and 139,728

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Solution

The third proportional to 66,096 and 139,728 is: 295,387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,096 : 139,728 = 139,728 : x
  2. Step 2: Convert to fraction form
    66,096/139,728 = 139,728/x
  3. Step 3: Cross multiply
    66,096x = 139,728 × 139,728
  4. Step 4: Simplify right side
    66,096x = 19,523,913,984
  5. Step 5: Solve for x
    x = 19,523,913,984/66,096
  6. Step 6: Final answer
    x = 295,387.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.