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Finding the Third Proportional to 135.23 and 192.84

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Solution

The third proportional to 135.23 and 192.84 is: 274.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.23 : 192.84 = 192.84 : x
  2. Step 2: Convert to fraction form
    135.23/192.84 = 192.84/x
  3. Step 3: Cross multiply
    135.23x = 192.84 × 192.84
  4. Step 4: Simplify right side
    135.23x = 37,188.71
  5. Step 5: Solve for x
    x = 37,188.71/135.23
  6. Step 6: Final answer
    x = 274.99

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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.