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Finding the Third Proportional to 55,661.75 and 114,050.50

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Solution

The third proportional to 55,661.75 and 114,050.50 is: 233,688.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,661.75 : 114,050.50 = 114,050.50 : x
  2. Step 2: Convert to fraction form
    55,661.75/114,050.50 = 114,050.50/x
  3. Step 3: Cross multiply
    55,661.75x = 114,050.50 × 114,050.50
  4. Step 4: Simplify right side
    55,661.75x = 13,007,516,550.25
  5. Step 5: Solve for x
    x = 13,007,516,550.25/55,661.75
  6. Step 6: Final answer
    x = 233,688.60

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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.