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Finding the Third Proportional to 93.18 and 101.49

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Solution

The third proportional to 93.18 and 101.49 is: 110.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.18 : 101.49 = 101.49 : x
  2. Step 2: Convert to fraction form
    93.18/101.49 = 101.49/x
  3. Step 3: Cross multiply
    93.18x = 101.49 × 101.49
  4. Step 4: Simplify right side
    93.18x = 10,299.67
  5. Step 5: Solve for x
    x = 10,299.67/93.18
  6. Step 6: Final answer
    x = 110.53

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.