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Finding the Third Proportional to 49,205 and 75,990

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Solution

The third proportional to 49,205 and 75,990 is: 117,355.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,205 : 75,990 = 75,990 : x
  2. Step 2: Convert to fraction form
    49,205/75,990 = 75,990/x
  3. Step 3: Cross multiply
    49,205x = 75,990 × 75,990
  4. Step 4: Simplify right side
    49,205x = 5,774,480,100
  5. Step 5: Solve for x
    x = 5,774,480,100/49,205
  6. Step 6: Final answer
    x = 117,355.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.