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Finding the Third Proportional to 58,785.75 and 123,342.75

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Solution

The third proportional to 58,785.75 and 123,342.75 is: 258,794.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,785.75 : 123,342.75 = 123,342.75 : x
  2. Step 2: Convert to fraction form
    58,785.75/123,342.75 = 123,342.75/x
  3. Step 3: Cross multiply
    58,785.75x = 123,342.75 × 123,342.75
  4. Step 4: Simplify right side
    58,785.75x = 15,213,433,977.56
  5. Step 5: Solve for x
    x = 15,213,433,977.56/58,785.75
  6. Step 6: Final answer
    x = 258,794.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.