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Finding the Third Proportional to 55,949.91 and 114,484.78

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Solution

The third proportional to 55,949.91 and 114,484.78 is: 234,258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,949.91 : 114,484.78 = 114,484.78 : x
  2. Step 2: Convert to fraction form
    55,949.91/114,484.78 = 114,484.78/x
  3. Step 3: Cross multiply
    55,949.91x = 114,484.78 × 114,484.78
  4. Step 4: Simplify right side
    55,949.91x = 13,106,765,137.86
  5. Step 5: Solve for x
    x = 13,106,765,137.86/55,949.91
  6. Step 6: Final answer
    x = 234,258.93

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.