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Finding the Third Proportional to 58,137.75 and 149,338.69

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Solution

The third proportional to 58,137.75 and 149,338.69 is: 383,606.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,137.75 : 149,338.69 = 149,338.69 : x
  2. Step 2: Convert to fraction form
    58,137.75/149,338.69 = 149,338.69/x
  3. Step 3: Cross multiply
    58,137.75x = 149,338.69 × 149,338.69
  4. Step 4: Simplify right side
    58,137.75x = 22,302,043,584.22
  5. Step 5: Solve for x
    x = 22,302,043,584.22/58,137.75
  6. Step 6: Final answer
    x = 383,606.93

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.