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Finding the Third Proportional to 129.25 and 181.25

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Solution

The third proportional to 129.25 and 181.25 is: 254.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.25 : 181.25 = 181.25 : x
  2. Step 2: Convert to fraction form
    129.25/181.25 = 181.25/x
  3. Step 3: Cross multiply
    129.25x = 181.25 × 181.25
  4. Step 4: Simplify right side
    129.25x = 32,851.56
  5. Step 5: Solve for x
    x = 32,851.56/129.25
  6. Step 6: Final answer
    x = 254.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.