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Finding the Third Proportional to 113.63 and 152.44

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Solution

The third proportional to 113.63 and 152.44 is: 204.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.63 : 152.44 = 152.44 : x
  2. Step 2: Convert to fraction form
    113.63/152.44 = 152.44/x
  3. Step 3: Cross multiply
    113.63x = 152.44 × 152.44
  4. Step 4: Simplify right side
    113.63x = 23,237.19
  5. Step 5: Solve for x
    x = 23,237.19/113.63
  6. Step 6: Final answer
    x = 204.51

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.