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Finding the Third Proportional to 51,333.75 and 76,790.25

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Solution

The third proportional to 51,333.75 and 76,790.25 is: 114,870.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,333.75 : 76,790.25 = 76,790.25 : x
  2. Step 2: Convert to fraction form
    51,333.75/76,790.25 = 76,790.25/x
  3. Step 3: Cross multiply
    51,333.75x = 76,790.25 × 76,790.25
  4. Step 4: Simplify right side
    51,333.75x = 5,896,742,495.06
  5. Step 5: Solve for x
    x = 5,896,742,495.06/51,333.75
  6. Step 6: Final answer
    x = 114,870.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.