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Finding the Third Proportional to 65,836 and 139,515

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Solution

The third proportional to 65,836 and 139,515 is: 295,650.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,836 : 139,515 = 139,515 : x
  2. Step 2: Convert to fraction form
    65,836/139,515 = 139,515/x
  3. Step 3: Cross multiply
    65,836x = 139,515 × 139,515
  4. Step 4: Simplify right side
    65,836x = 19,464,435,225
  5. Step 5: Solve for x
    x = 19,464,435,225/65,836
  6. Step 6: Final answer
    x = 295,650.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.