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Finding the Third Proportional to 57,975.75 and 93,251.25

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Solution

The third proportional to 57,975.75 and 93,251.25 is: 149,990.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,975.75 : 93,251.25 = 93,251.25 : x
  2. Step 2: Convert to fraction form
    57,975.75/93,251.25 = 93,251.25/x
  3. Step 3: Cross multiply
    57,975.75x = 93,251.25 × 93,251.25
  4. Step 4: Simplify right side
    57,975.75x = 8,695,795,626.56
  5. Step 5: Solve for x
    x = 8,695,795,626.56/57,975.75
  6. Step 6: Final answer
    x = 149,990.22

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.