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Finding the Third Proportional to 45.23 and 88.22

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Solution

The third proportional to 45.23 and 88.22 is: 172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.23 : 88.22 = 88.22 : x
  2. Step 2: Convert to fraction form
    45.23/88.22 = 88.22/x
  3. Step 3: Cross multiply
    45.23x = 88.22 × 88.22
  4. Step 4: Simplify right side
    45.23x = 7,782.55
  5. Step 5: Solve for x
    x = 7,782.55/45.23
  6. Step 6: Final answer
    x = 172.05

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.