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Finding the Third Proportional to 93.06 and 132.91

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Solution

The third proportional to 93.06 and 132.91 is: 189.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.06 : 132.91 = 132.91 : x
  2. Step 2: Convert to fraction form
    93.06/132.91 = 132.91/x
  3. Step 3: Cross multiply
    93.06x = 132.91 × 132.91
  4. Step 4: Simplify right side
    93.06x = 17,664.07
  5. Step 5: Solve for x
    x = 17,664.07/93.06
  6. Step 6: Final answer
    x = 189.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.