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Finding the Third Proportional to 146,124 and 214,578

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Solution

The third proportional to 146,124 and 214,578 is: 315,100.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,124 : 214,578 = 214,578 : x
  2. Step 2: Convert to fraction form
    146,124/214,578 = 214,578/x
  3. Step 3: Cross multiply
    146,124x = 214,578 × 214,578
  4. Step 4: Simplify right side
    146,124x = 46,043,718,084
  5. Step 5: Solve for x
    x = 46,043,718,084/146,124
  6. Step 6: Final answer
    x = 315,100.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.