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Finding the Third Proportional to 91.54 and 145.94

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Solution

The third proportional to 91.54 and 145.94 is: 232.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.54 : 145.94 = 145.94 : x
  2. Step 2: Convert to fraction form
    91.54/145.94 = 145.94/x
  3. Step 3: Cross multiply
    91.54x = 145.94 × 145.94
  4. Step 4: Simplify right side
    91.54x = 21,297.75
  5. Step 5: Solve for x
    x = 21,297.75/91.54
  6. Step 6: Final answer
    x = 232.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.