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Finding the Third Proportional to 96.98 and 145.15

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Solution

The third proportional to 96.98 and 145.15 is: 217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.98 : 145.15 = 145.15 : x
  2. Step 2: Convert to fraction form
    96.98/145.15 = 145.15/x
  3. Step 3: Cross multiply
    96.98x = 145.15 × 145.15
  4. Step 4: Simplify right side
    96.98x = 21,068.92
  5. Step 5: Solve for x
    x = 21,068.92/96.98
  6. Step 6: Final answer
    x = 217.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.