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Finding the Third Proportional to 49,607 and 106,990

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Solution

The third proportional to 49,607 and 106,990 is: 230,750.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,607 : 106,990 = 106,990 : x
  2. Step 2: Convert to fraction form
    49,607/106,990 = 106,990/x
  3. Step 3: Cross multiply
    49,607x = 106,990 × 106,990
  4. Step 4: Simplify right side
    49,607x = 11,446,860,100
  5. Step 5: Solve for x
    x = 11,446,860,100/49,607
  6. Step 6: Final answer
    x = 230,750.90

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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.