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Finding the Third Proportional to 123,405.75 and 184,300.88

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Solution

The third proportional to 123,405.75 and 184,300.88 is: 275,244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,405.75 : 184,300.88 = 184,300.88 : x
  2. Step 2: Convert to fraction form
    123,405.75/184,300.88 = 184,300.88/x
  3. Step 3: Cross multiply
    123,405.75x = 184,300.88 × 184,300.88
  4. Step 4: Simplify right side
    123,405.75x = 33,966,812,525.77
  5. Step 5: Solve for x
    x = 33,966,812,525.77/123,405.75
  6. Step 6: Final answer
    x = 275,244.97

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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.