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Finding the Third Proportional to 105 and 172.13

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Solution

The third proportional to 105 and 172.13 is: 282.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105 : 172.13 = 172.13 : x
  2. Step 2: Convert to fraction form
    105/172.13 = 172.13/x
  3. Step 3: Cross multiply
    105x = 172.13 × 172.13
  4. Step 4: Simplify right side
    105x = 29,627.02
  5. Step 5: Solve for x
    x = 29,627.02/105
  6. Step 6: Final answer
    x = 282.16

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.