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Finding the Third Proportional to 124,899 and 184,039.50

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Solution

The third proportional to 124,899 and 184,039.50 is: 271,183.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,899 : 184,039.50 = 184,039.50 : x
  2. Step 2: Convert to fraction form
    124,899/184,039.50 = 184,039.50/x
  3. Step 3: Cross multiply
    124,899x = 184,039.50 × 184,039.50
  4. Step 4: Simplify right side
    124,899x = 33,870,537,560.25
  5. Step 5: Solve for x
    x = 33,870,537,560.25/124,899
  6. Step 6: Final answer
    x = 271,183.42

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.