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Finding the Third Proportional to 90.88 and 130.94

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Solution

The third proportional to 90.88 and 130.94 is: 188.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.88 : 130.94 = 130.94 : x
  2. Step 2: Convert to fraction form
    90.88/130.94 = 130.94/x
  3. Step 3: Cross multiply
    90.88x = 130.94 × 130.94
  4. Step 4: Simplify right side
    90.88x = 17,144.63
  5. Step 5: Solve for x
    x = 17,144.63/90.88
  6. Step 6: Final answer
    x = 188.66

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.