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Finding the Third Proportional to 49,041 and 75,141

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Solution

The third proportional to 49,041 and 75,141 is: 115,131.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,041 : 75,141 = 75,141 : x
  2. Step 2: Convert to fraction form
    49,041/75,141 = 75,141/x
  3. Step 3: Cross multiply
    49,041x = 75,141 × 75,141
  4. Step 4: Simplify right side
    49,041x = 5,646,169,881
  5. Step 5: Solve for x
    x = 5,646,169,881/49,041
  6. Step 6: Final answer
    x = 115,131.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.