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Finding the Third Proportional to 48,990 and 105,752

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Solution

The third proportional to 48,990 and 105,752 is: 228,280.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,990 : 105,752 = 105,752 : x
  2. Step 2: Convert to fraction form
    48,990/105,752 = 105,752/x
  3. Step 3: Cross multiply
    48,990x = 105,752 × 105,752
  4. Step 4: Simplify right side
    48,990x = 11,183,485,504
  5. Step 5: Solve for x
    x = 11,183,485,504/48,990
  6. Step 6: Final answer
    x = 228,280.99

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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.