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Finding the Third Proportional to 73,070 and 159,668

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Solution

The third proportional to 73,070 and 159,668 is: 348,896.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,070 : 159,668 = 159,668 : x
  2. Step 2: Convert to fraction form
    73,070/159,668 = 159,668/x
  3. Step 3: Cross multiply
    73,070x = 159,668 × 159,668
  4. Step 4: Simplify right side
    73,070x = 25,493,870,224
  5. Step 5: Solve for x
    x = 25,493,870,224/73,070
  6. Step 6: Final answer
    x = 348,896.54

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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.