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Finding the Third Proportional to 92.31 and 153.19

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Solution

The third proportional to 92.31 and 153.19 is: 254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.31 : 153.19 = 153.19 : x
  2. Step 2: Convert to fraction form
    92.31/153.19 = 153.19/x
  3. Step 3: Cross multiply
    92.31x = 153.19 × 153.19
  4. Step 4: Simplify right side
    92.31x = 23,466.41
  5. Step 5: Solve for x
    x = 23,466.41/92.31
  6. Step 6: Final answer
    x = 254.21

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.