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Finding the Third Proportional to 91.55 and 130.15

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Solution

The third proportional to 91.55 and 130.15 is: 185.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.55 : 130.15 = 130.15 : x
  2. Step 2: Convert to fraction form
    91.55/130.15 = 130.15/x
  3. Step 3: Cross multiply
    91.55x = 130.15 × 130.15
  4. Step 4: Simplify right side
    91.55x = 16,938.62
  5. Step 5: Solve for x
    x = 16,938.62/91.55
  6. Step 6: Final answer
    x = 185.03

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.