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Finding the Third Proportional to 123,434.81 and 184,344.75

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Solution

The third proportional to 123,434.81 and 184,344.75 is: 275,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,434.81 : 184,344.75 = 184,344.75 : x
  2. Step 2: Convert to fraction form
    123,434.81/184,344.75 = 184,344.75/x
  3. Step 3: Cross multiply
    123,434.81x = 184,344.75 × 184,344.75
  4. Step 4: Simplify right side
    123,434.81x = 33,982,986,852.56
  5. Step 5: Solve for x
    x = 33,982,986,852.56/123,434.81
  6. Step 6: Final answer
    x = 275,311.20

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Why These Related Problems?

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