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Finding the Third Proportional to 112,792.50 and 234,914.06

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Solution

The third proportional to 112,792.50 and 234,914.06 is: 489,257.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,792.50 : 234,914.06 = 234,914.06 : x
  2. Step 2: Convert to fraction form
    112,792.50/234,914.06 = 234,914.06/x
  3. Step 3: Cross multiply
    112,792.50x = 234,914.06 × 234,914.06
  4. Step 4: Simplify right side
    112,792.50x = 55,184,616,760.25
  5. Step 5: Solve for x
    x = 55,184,616,760.25/112,792.50
  6. Step 6: Final answer
    x = 489,257.86

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.