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Finding the Third Proportional to 108,020 and 161,668

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Solution

The third proportional to 108,020 and 161,668 is: 241,960.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,020 : 161,668 = 161,668 : x
  2. Step 2: Convert to fraction form
    108,020/161,668 = 161,668/x
  3. Step 3: Cross multiply
    108,020x = 161,668 × 161,668
  4. Step 4: Simplify right side
    108,020x = 26,136,542,224
  5. Step 5: Solve for x
    x = 26,136,542,224/108,020
  6. Step 6: Final answer
    x = 241,960.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.