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Finding the Third Proportional to 57,525.75 and 125,707.50

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Solution

The third proportional to 57,525.75 and 125,707.50 is: 274,700.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,525.75 : 125,707.50 = 125,707.50 : x
  2. Step 2: Convert to fraction form
    57,525.75/125,707.50 = 125,707.50/x
  3. Step 3: Cross multiply
    57,525.75x = 125,707.50 × 125,707.50
  4. Step 4: Simplify right side
    57,525.75x = 15,802,375,556.25
  5. Step 5: Solve for x
    x = 15,802,375,556.25/57,525.75
  6. Step 6: Final answer
    x = 274,700.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.