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Finding the Third Proportional to 62,745.61 and 122,338.69

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Solution

The third proportional to 62,745.61 and 122,338.69 is: 238,530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,745.61 : 122,338.69 = 122,338.69 : x
  2. Step 2: Convert to fraction form
    62,745.61/122,338.69 = 122,338.69/x
  3. Step 3: Cross multiply
    62,745.61x = 122,338.69 × 122,338.69
  4. Step 4: Simplify right side
    62,745.61x = 14,966,754,459.22
  5. Step 5: Solve for x
    x = 14,966,754,459.22/62,745.61
  6. Step 6: Final answer
    x = 238,530.71

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.