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Finding the Third Proportional to 123,367.50 and 184,555.13

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Solution

The third proportional to 123,367.50 and 184,555.13 is: 276,090.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,367.50 : 184,555.13 = 184,555.13 : x
  2. Step 2: Convert to fraction form
    123,367.50/184,555.13 = 184,555.13/x
  3. Step 3: Cross multiply
    123,367.50x = 184,555.13 × 184,555.13
  4. Step 4: Simplify right side
    123,367.50x = 34,060,594,163.77
  5. Step 5: Solve for x
    x = 34,060,594,163.77/123,367.50
  6. Step 6: Final answer
    x = 276,090.50

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Why These Related Problems?

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