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Finding the Third Proportional to 48,406 and 106,964

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Solution

The third proportional to 48,406 and 106,964 is: 236,361.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,406 : 106,964 = 106,964 : x
  2. Step 2: Convert to fraction form
    48,406/106,964 = 106,964/x
  3. Step 3: Cross multiply
    48,406x = 106,964 × 106,964
  4. Step 4: Simplify right side
    48,406x = 11,441,297,296
  5. Step 5: Solve for x
    x = 11,441,297,296/48,406
  6. Step 6: Final answer
    x = 236,361.14

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.