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Finding the Third Proportional to 57,611.25 and 120,649.50

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Solution

The third proportional to 57,611.25 and 120,649.50 is: 252,664.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,611.25 : 120,649.50 = 120,649.50 : x
  2. Step 2: Convert to fraction form
    57,611.25/120,649.50 = 120,649.50/x
  3. Step 3: Cross multiply
    57,611.25x = 120,649.50 × 120,649.50
  4. Step 4: Simplify right side
    57,611.25x = 14,556,301,850.25
  5. Step 5: Solve for x
    x = 14,556,301,850.25/57,611.25
  6. Step 6: Final answer
    x = 252,664.23

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.