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Finding the Third Proportional to 123,048 and 193,314

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Solution

The third proportional to 123,048 and 193,314 is: 303,705.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,048 : 193,314 = 193,314 : x
  2. Step 2: Convert to fraction form
    123,048/193,314 = 193,314/x
  3. Step 3: Cross multiply
    123,048x = 193,314 × 193,314
  4. Step 4: Simplify right side
    123,048x = 37,370,302,596
  5. Step 5: Solve for x
    x = 37,370,302,596/123,048
  6. Step 6: Final answer
    x = 303,705.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.