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Finding the Third Proportional to 49,804 and 75,083

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Solution

The third proportional to 49,804 and 75,083 is: 113,192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,804 : 75,083 = 75,083 : x
  2. Step 2: Convert to fraction form
    49,804/75,083 = 75,083/x
  3. Step 3: Cross multiply
    49,804x = 75,083 × 75,083
  4. Step 4: Simplify right side
    49,804x = 5,637,456,889
  5. Step 5: Solve for x
    x = 5,637,456,889/49,804
  6. Step 6: Final answer
    x = 113,192.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.