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Finding the Third Proportional to 92.81 and 145.98

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Solution

The third proportional to 92.81 and 145.98 is: 229.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.81 : 145.98 = 145.98 : x
  2. Step 2: Convert to fraction form
    92.81/145.98 = 145.98/x
  3. Step 3: Cross multiply
    92.81x = 145.98 × 145.98
  4. Step 4: Simplify right side
    92.81x = 21,311.44
  5. Step 5: Solve for x
    x = 21,311.44/92.81
  6. Step 6: Final answer
    x = 229.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.