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Finding the Third Proportional to 45,336 and 68,004

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Solution

The third proportional to 45,336 and 68,004 is: 102,006

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,336 : 68,004 = 68,004 : x
  2. Step 2: Convert to fraction form
    45,336/68,004 = 68,004/x
  3. Step 3: Cross multiply
    45,336x = 68,004 × 68,004
  4. Step 4: Simplify right side
    45,336x = 4,624,544,016
  5. Step 5: Solve for x
    x = 4,624,544,016/45,336
  6. Step 6: Final answer
    x = 102,006

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.