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Finding the Third Proportional to 113.75 and 172.25

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Solution

The third proportional to 113.75 and 172.25 is: 260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.75 : 172.25 = 172.25 : x
  2. Step 2: Convert to fraction form
    113.75/172.25 = 172.25/x
  3. Step 3: Cross multiply
    113.75x = 172.25 × 172.25
  4. Step 4: Simplify right side
    113.75x = 29,670.06
  5. Step 5: Solve for x
    x = 29,670.06/113.75
  6. Step 6: Final answer
    x = 260.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.