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Finding the Third Proportional to 121.50 and 187.31

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Solution

The third proportional to 121.50 and 187.31 is: 288.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.50 : 187.31 = 187.31 : x
  2. Step 2: Convert to fraction form
    121.50/187.31 = 187.31/x
  3. Step 3: Cross multiply
    121.50x = 187.31 × 187.31
  4. Step 4: Simplify right side
    121.50x = 35,085.97
  5. Step 5: Solve for x
    x = 35,085.97/121.50
  6. Step 6: Final answer
    x = 288.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.