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Finding the Third Proportional to 56,166.75 and 122,883.75

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Solution

The third proportional to 56,166.75 and 122,883.75 is: 268,849.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,166.75 : 122,883.75 = 122,883.75 : x
  2. Step 2: Convert to fraction form
    56,166.75/122,883.75 = 122,883.75/x
  3. Step 3: Cross multiply
    56,166.75x = 122,883.75 × 122,883.75
  4. Step 4: Simplify right side
    56,166.75x = 15,100,416,014.06
  5. Step 5: Solve for x
    x = 15,100,416,014.06/56,166.75
  6. Step 6: Final answer
    x = 268,849.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.