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Finding the Third Proportional to 65.53 and 88.03

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Solution

The third proportional to 65.53 and 88.03 is: 118.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.53 : 88.03 = 88.03 : x
  2. Step 2: Convert to fraction form
    65.53/88.03 = 88.03/x
  3. Step 3: Cross multiply
    65.53x = 88.03 × 88.03
  4. Step 4: Simplify right side
    65.53x = 7,749.50
  5. Step 5: Solve for x
    x = 7,749.50/65.53
  6. Step 6: Final answer
    x = 118.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.