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Finding the Third Proportional to 92.79 and 130.52

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Solution

The third proportional to 92.79 and 130.52 is: 183.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.79 : 130.52 = 130.52 : x
  2. Step 2: Convert to fraction form
    92.79/130.52 = 130.52/x
  3. Step 3: Cross multiply
    92.79x = 130.52 × 130.52
  4. Step 4: Simplify right side
    92.79x = 17,034.84
  5. Step 5: Solve for x
    x = 17,034.84/92.79
  6. Step 6: Final answer
    x = 183.59

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.