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Finding the Third Proportional to 45.14 and 93.28

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Solution

The third proportional to 45.14 and 93.28 is: 192.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.14 : 93.28 = 93.28 : x
  2. Step 2: Convert to fraction form
    45.14/93.28 = 93.28/x
  3. Step 3: Cross multiply
    45.14x = 93.28 × 93.28
  4. Step 4: Simplify right side
    45.14x = 8,701.39
  5. Step 5: Solve for x
    x = 8,701.39/45.14
  6. Step 6: Final answer
    x = 192.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.