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Finding the Third Proportional to 91.31 and 128.25

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Solution

The third proportional to 91.31 and 128.25 is: 180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.31 : 128.25 = 128.25 : x
  2. Step 2: Convert to fraction form
    91.31/128.25 = 128.25/x
  3. Step 3: Cross multiply
    91.31x = 128.25 × 128.25
  4. Step 4: Simplify right side
    91.31x = 16,448.06
  5. Step 5: Solve for x
    x = 16,448.06/91.31
  6. Step 6: Final answer
    x = 180.13

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.