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Finding the Third Proportional to 152.06 and 184.13

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Solution

The third proportional to 152.06 and 184.13 is: 222.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.06 : 184.13 = 184.13 : x
  2. Step 2: Convert to fraction form
    152.06/184.13 = 184.13/x
  3. Step 3: Cross multiply
    152.06x = 184.13 × 184.13
  4. Step 4: Simplify right side
    152.06x = 33,902.02
  5. Step 5: Solve for x
    x = 33,902.02/152.06
  6. Step 6: Final answer
    x = 222.95

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.