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Finding the Third Proportional to 70,149.75 and 145,289.25

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Solution

The third proportional to 70,149.75 and 145,289.25 is: 300,912.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,149.75 : 145,289.25 = 145,289.25 : x
  2. Step 2: Convert to fraction form
    70,149.75/145,289.25 = 145,289.25/x
  3. Step 3: Cross multiply
    70,149.75x = 145,289.25 × 145,289.25
  4. Step 4: Simplify right side
    70,149.75x = 21,108,966,165.56
  5. Step 5: Solve for x
    x = 21,108,966,165.56/70,149.75
  6. Step 6: Final answer
    x = 300,912.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.