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Finding the Third Proportional to 122,622.75 and 168,864.75

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Solution

The third proportional to 122,622.75 and 168,864.75 is: 232,544.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,622.75 : 168,864.75 = 168,864.75 : x
  2. Step 2: Convert to fraction form
    122,622.75/168,864.75 = 168,864.75/x
  3. Step 3: Cross multiply
    122,622.75x = 168,864.75 × 168,864.75
  4. Step 4: Simplify right side
    122,622.75x = 28,515,303,792.56
  5. Step 5: Solve for x
    x = 28,515,303,792.56/122,622.75
  6. Step 6: Final answer
    x = 232,544.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.