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Finding the Third Proportional to 48,949.50 and 105,675

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Solution

The third proportional to 48,949.50 and 105,675 is: 228,137.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,949.50 : 105,675 = 105,675 : x
  2. Step 2: Convert to fraction form
    48,949.50/105,675 = 105,675/x
  3. Step 3: Cross multiply
    48,949.50x = 105,675 × 105,675
  4. Step 4: Simplify right side
    48,949.50x = 11,167,205,625
  5. Step 5: Solve for x
    x = 11,167,205,625/48,949.50
  6. Step 6: Final answer
    x = 228,137.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.