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Finding the Third Proportional to 72.08 and 103.32

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Solution

The third proportional to 72.08 and 103.32 is: 148.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.08 : 103.32 = 103.32 : x
  2. Step 2: Convert to fraction form
    72.08/103.32 = 103.32/x
  3. Step 3: Cross multiply
    72.08x = 103.32 × 103.32
  4. Step 4: Simplify right side
    72.08x = 10,674.31
  5. Step 5: Solve for x
    x = 10,674.31/72.08
  6. Step 6: Final answer
    x = 148.09

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.