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Finding the Third Proportional to 100.31 and 154.03

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Solution

The third proportional to 100.31 and 154.03 is: 236.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.31 : 154.03 = 154.03 : x
  2. Step 2: Convert to fraction form
    100.31/154.03 = 154.03/x
  3. Step 3: Cross multiply
    100.31x = 154.03 × 154.03
  4. Step 4: Simplify right side
    100.31x = 23,725.63
  5. Step 5: Solve for x
    x = 23,725.63/100.31
  6. Step 6: Final answer
    x = 236.52

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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.