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Finding the Third Proportional to 57,675.50 and 125,143

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Solution

The third proportional to 57,675.50 and 125,143 is: 271,532.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,675.50 : 125,143 = 125,143 : x
  2. Step 2: Convert to fraction form
    57,675.50/125,143 = 125,143/x
  3. Step 3: Cross multiply
    57,675.50x = 125,143 × 125,143
  4. Step 4: Simplify right side
    57,675.50x = 15,660,770,449
  5. Step 5: Solve for x
    x = 15,660,770,449/57,675.50
  6. Step 6: Final answer
    x = 271,532.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.