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Finding the Third Proportional to 66,105 and 139,014

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Solution

The third proportional to 66,105 and 139,014 is: 292,336.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,105 : 139,014 = 139,014 : x
  2. Step 2: Convert to fraction form
    66,105/139,014 = 139,014/x
  3. Step 3: Cross multiply
    66,105x = 139,014 × 139,014
  4. Step 4: Simplify right side
    66,105x = 19,324,892,196
  5. Step 5: Solve for x
    x = 19,324,892,196/66,105
  6. Step 6: Final answer
    x = 292,336.32

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.