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Finding the Third Proportional to 58,102.75 and 123,180.75

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Solution

The third proportional to 58,102.75 and 123,180.75 is: 261,149.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,102.75 : 123,180.75 = 123,180.75 : x
  2. Step 2: Convert to fraction form
    58,102.75/123,180.75 = 123,180.75/x
  3. Step 3: Cross multiply
    58,102.75x = 123,180.75 × 123,180.75
  4. Step 4: Simplify right side
    58,102.75x = 15,173,497,170.56
  5. Step 5: Solve for x
    x = 15,173,497,170.56/58,102.75
  6. Step 6: Final answer
    x = 261,149.38

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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.