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Finding the Third Proportional to 70,566 and 154,668

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Solution

The third proportional to 70,566 and 154,668 is: 339,004.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,566 : 154,668 = 154,668 : x
  2. Step 2: Convert to fraction form
    70,566/154,668 = 154,668/x
  3. Step 3: Cross multiply
    70,566x = 154,668 × 154,668
  4. Step 4: Simplify right side
    70,566x = 23,922,190,224
  5. Step 5: Solve for x
    x = 23,922,190,224/70,566
  6. Step 6: Final answer
    x = 339,004.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.