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Finding the Third Proportional to 114.14 and 172.05

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Solution

The third proportional to 114.14 and 172.05 is: 259.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.14 : 172.05 = 172.05 : x
  2. Step 2: Convert to fraction form
    114.14/172.05 = 172.05/x
  3. Step 3: Cross multiply
    114.14x = 172.05 × 172.05
  4. Step 4: Simplify right side
    114.14x = 29,599.79
  5. Step 5: Solve for x
    x = 29,599.79/114.14
  6. Step 6: Final answer
    x = 259.32

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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.