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Finding the Third Proportional to 136.50 and 172.25

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Solution

The third proportional to 136.50 and 172.25 is: 217.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.50 : 172.25 = 172.25 : x
  2. Step 2: Convert to fraction form
    136.50/172.25 = 172.25/x
  3. Step 3: Cross multiply
    136.50x = 172.25 × 172.25
  4. Step 4: Simplify right side
    136.50x = 29,670.06
  5. Step 5: Solve for x
    x = 29,670.06/136.50
  6. Step 6: Final answer
    x = 217.36

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.