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Finding the Third Proportional to 172.88 and 177.75

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Solution

The third proportional to 172.88 and 177.75 is: 182.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.88 : 177.75 = 177.75 : x
  2. Step 2: Convert to fraction form
    172.88/177.75 = 177.75/x
  3. Step 3: Cross multiply
    172.88x = 177.75 × 177.75
  4. Step 4: Simplify right side
    172.88x = 31,595.06
  5. Step 5: Solve for x
    x = 31,595.06/172.88
  6. Step 6: Final answer
    x = 182.76

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.