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Finding the Third Proportional to 68,385 and 104,973

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Solution

The third proportional to 68,385 and 104,973 is: 161,136.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,385 : 104,973 = 104,973 : x
  2. Step 2: Convert to fraction form
    68,385/104,973 = 104,973/x
  3. Step 3: Cross multiply
    68,385x = 104,973 × 104,973
  4. Step 4: Simplify right side
    68,385x = 11,019,330,729
  5. Step 5: Solve for x
    x = 11,019,330,729/68,385
  6. Step 6: Final answer
    x = 161,136.66

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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.