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Finding the Third Proportional to 45,801 and 68,356

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Solution

The third proportional to 45,801 and 68,356 is: 102,018.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,801 : 68,356 = 68,356 : x
  2. Step 2: Convert to fraction form
    45,801/68,356 = 68,356/x
  3. Step 3: Cross multiply
    45,801x = 68,356 × 68,356
  4. Step 4: Simplify right side
    45,801x = 4,672,542,736
  5. Step 5: Solve for x
    x = 4,672,542,736/45,801
  6. Step 6: Final answer
    x = 102,018.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.