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Finding the Third Proportional to 91.06 and 145.56

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Solution

The third proportional to 91.06 and 145.56 is: 232.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.06 : 145.56 = 145.56 : x
  2. Step 2: Convert to fraction form
    91.06/145.56 = 145.56/x
  3. Step 3: Cross multiply
    91.06x = 145.56 × 145.56
  4. Step 4: Simplify right side
    91.06x = 21,188.44
  5. Step 5: Solve for x
    x = 21,188.44/91.06
  6. Step 6: Final answer
    x = 232.68

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.