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Finding the Third Proportional to 65.50 and 98.25

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Solution

The third proportional to 65.50 and 98.25 is: 147.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.50 : 98.25 = 98.25 : x
  2. Step 2: Convert to fraction form
    65.50/98.25 = 98.25/x
  3. Step 3: Cross multiply
    65.50x = 98.25 × 98.25
  4. Step 4: Simplify right side
    65.50x = 9,653.06
  5. Step 5: Solve for x
    x = 9,653.06/65.50
  6. Step 6: Final answer
    x = 147.38

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Why These Related Problems?

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