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Finding the Third Proportional to 65.44 and 100.25

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Solution

The third proportional to 65.44 and 100.25 is: 153.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.44 : 100.25 = 100.25 : x
  2. Step 2: Convert to fraction form
    65.44/100.25 = 100.25/x
  3. Step 3: Cross multiply
    65.44x = 100.25 × 100.25
  4. Step 4: Simplify right side
    65.44x = 10,050.06
  5. Step 5: Solve for x
    x = 10,050.06/65.44
  6. Step 6: Final answer
    x = 153.58

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.