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Finding the Third Proportional to 68,379 and 104,964

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Solution

The third proportional to 68,379 and 104,964 is: 161,123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,379 : 104,964 = 104,964 : x
  2. Step 2: Convert to fraction form
    68,379/104,964 = 104,964/x
  3. Step 3: Cross multiply
    68,379x = 104,964 × 104,964
  4. Step 4: Simplify right side
    68,379x = 11,017,441,296
  5. Step 5: Solve for x
    x = 11,017,441,296/68,379
  6. Step 6: Final answer
    x = 161,123.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.