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Finding the Third Proportional to 122,883.75 and 195,391.13

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Solution

The third proportional to 122,883.75 and 195,391.13 is: 310,681.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,883.75 : 195,391.13 = 195,391.13 : x
  2. Step 2: Convert to fraction form
    122,883.75/195,391.13 = 195,391.13/x
  3. Step 3: Cross multiply
    122,883.75x = 195,391.13 × 195,391.13
  4. Step 4: Simplify right side
    122,883.75x = 38,177,691,728.77
  5. Step 5: Solve for x
    x = 38,177,691,728.77/122,883.75
  6. Step 6: Final answer
    x = 310,681.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.