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Finding the Third Proportional to 65.02 and 98.64

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Solution

The third proportional to 65.02 and 98.64 is: 149.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.02 : 98.64 = 98.64 : x
  2. Step 2: Convert to fraction form
    65.02/98.64 = 98.64/x
  3. Step 3: Cross multiply
    65.02x = 98.64 × 98.64
  4. Step 4: Simplify right side
    65.02x = 9,729.78
  5. Step 5: Solve for x
    x = 9,729.78/65.02
  6. Step 6: Final answer
    x = 149.64

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.