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Finding the Third Proportional to 123.75 and 188.93

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Solution

The third proportional to 123.75 and 188.93 is: 288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.75 : 188.93 = 188.93 : x
  2. Step 2: Convert to fraction form
    123.75/188.93 = 188.93/x
  3. Step 3: Cross multiply
    123.75x = 188.93 × 188.93
  4. Step 4: Simplify right side
    123.75x = 35,694.43
  5. Step 5: Solve for x
    x = 35,694.43/123.75
  6. Step 6: Final answer
    x = 288.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.