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Finding the Third Proportional to 91.76 and 130.46

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Solution

The third proportional to 91.76 and 130.46 is: 185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.76 : 130.46 = 130.46 : x
  2. Step 2: Convert to fraction form
    91.76/130.46 = 130.46/x
  3. Step 3: Cross multiply
    91.76x = 130.46 × 130.46
  4. Step 4: Simplify right side
    91.76x = 17,021.08
  5. Step 5: Solve for x
    x = 17,021.08/91.76
  6. Step 6: Final answer
    x = 185.50

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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.