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Finding the Third Proportional to 120,712.50 and 183,660.75

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Solution

The third proportional to 120,712.50 and 183,660.75 is: 279,434.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,712.50 : 183,660.75 = 183,660.75 : x
  2. Step 2: Convert to fraction form
    120,712.50/183,660.75 = 183,660.75/x
  3. Step 3: Cross multiply
    120,712.50x = 183,660.75 × 183,660.75
  4. Step 4: Simplify right side
    120,712.50x = 33,731,271,090.56
  5. Step 5: Solve for x
    x = 33,731,271,090.56/120,712.50
  6. Step 6: Final answer
    x = 279,434.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.