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Finding the Third Proportional to 45,976.50 and 68,103

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Solution

The third proportional to 45,976.50 and 68,103 is: 100,878.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,976.50 : 68,103 = 68,103 : x
  2. Step 2: Convert to fraction form
    45,976.50/68,103 = 68,103/x
  3. Step 3: Cross multiply
    45,976.50x = 68,103 × 68,103
  4. Step 4: Simplify right side
    45,976.50x = 4,638,018,609
  5. Step 5: Solve for x
    x = 4,638,018,609/45,976.50
  6. Step 6: Final answer
    x = 100,878.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.