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Finding the Third Proportional to 116.75 and 128.30

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Solution

The third proportional to 116.75 and 128.30 is: 140.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.75 : 128.30 = 128.30 : x
  2. Step 2: Convert to fraction form
    116.75/128.30 = 128.30/x
  3. Step 3: Cross multiply
    116.75x = 128.30 × 128.30
  4. Step 4: Simplify right side
    116.75x = 16,461.59
  5. Step 5: Solve for x
    x = 16,461.59/116.75
  6. Step 6: Final answer
    x = 140.99

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.