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Finding the Third Proportional to 49,896 and 74,843

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Solution

The third proportional to 49,896 and 74,843 is: 112,263.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,896 : 74,843 = 74,843 : x
  2. Step 2: Convert to fraction form
    49,896/74,843 = 74,843/x
  3. Step 3: Cross multiply
    49,896x = 74,843 × 74,843
  4. Step 4: Simplify right side
    49,896x = 5,601,474,649
  5. Step 5: Solve for x
    x = 5,601,474,649/49,896
  6. Step 6: Final answer
    x = 112,263.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.