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Finding the Third Proportional to 57,621.38 and 122,077.13

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Solution

The third proportional to 57,621.38 and 122,077.13 is: 258,633.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,621.38 : 122,077.13 = 122,077.13 : x
  2. Step 2: Convert to fraction form
    57,621.38/122,077.13 = 122,077.13/x
  3. Step 3: Cross multiply
    57,621.38x = 122,077.13 × 122,077.13
  4. Step 4: Simplify right side
    57,621.38x = 14,902,824,448.27
  5. Step 5: Solve for x
    x = 14,902,824,448.27/57,621.38
  6. Step 6: Final answer
    x = 258,633.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.