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Finding the Third Proportional to 67,214 and 146,724

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Solution

The third proportional to 67,214 and 146,724 is: 320,289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,214 : 146,724 = 146,724 : x
  2. Step 2: Convert to fraction form
    67,214/146,724 = 146,724/x
  3. Step 3: Cross multiply
    67,214x = 146,724 × 146,724
  4. Step 4: Simplify right side
    67,214x = 21,527,932,176
  5. Step 5: Solve for x
    x = 21,527,932,176/67,214
  6. Step 6: Final answer
    x = 320,289.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.