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Finding the Third Proportional to 123,973.50 and 184,137.75

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Solution

The third proportional to 123,973.50 and 184,137.75 is: 273,499.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,973.50 : 184,137.75 = 184,137.75 : x
  2. Step 2: Convert to fraction form
    123,973.50/184,137.75 = 184,137.75/x
  3. Step 3: Cross multiply
    123,973.50x = 184,137.75 × 184,137.75
  4. Step 4: Simplify right side
    123,973.50x = 33,906,710,975.06
  5. Step 5: Solve for x
    x = 33,906,710,975.06/123,973.50
  6. Step 6: Final answer
    x = 273,499.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.