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Finding the Third Proportional to 120.55 and 172.76

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Solution

The third proportional to 120.55 and 172.76 is: 247.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.55 : 172.76 = 172.76 : x
  2. Step 2: Convert to fraction form
    120.55/172.76 = 172.76/x
  3. Step 3: Cross multiply
    120.55x = 172.76 × 172.76
  4. Step 4: Simplify right side
    120.55x = 29,845.26
  5. Step 5: Solve for x
    x = 29,845.26/120.55
  6. Step 6: Final answer
    x = 247.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.