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Finding the Third Proportional to 67.50 and 98.30

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Solution

The third proportional to 67.50 and 98.30 is: 143.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.50 : 98.30 = 98.30 : x
  2. Step 2: Convert to fraction form
    67.50/98.30 = 98.30/x
  3. Step 3: Cross multiply
    67.50x = 98.30 × 98.30
  4. Step 4: Simplify right side
    67.50x = 9,662.28
  5. Step 5: Solve for x
    x = 9,662.28/67.50
  6. Step 6: Final answer
    x = 143.14

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.