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Finding the Third Proportional to 58,041 and 123,672

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Solution

The third proportional to 58,041 and 123,672 is: 263,516.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,041 : 123,672 = 123,672 : x
  2. Step 2: Convert to fraction form
    58,041/123,672 = 123,672/x
  3. Step 3: Cross multiply
    58,041x = 123,672 × 123,672
  4. Step 4: Simplify right side
    58,041x = 15,294,763,584
  5. Step 5: Solve for x
    x = 15,294,763,584/58,041
  6. Step 6: Final answer
    x = 263,516.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.