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Finding the Third Proportional to 76.31 and 109.03

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Solution

The third proportional to 76.31 and 109.03 is: 155.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.31 : 109.03 = 109.03 : x
  2. Step 2: Convert to fraction form
    76.31/109.03 = 109.03/x
  3. Step 3: Cross multiply
    76.31x = 109.03 × 109.03
  4. Step 4: Simplify right side
    76.31x = 11,887.81
  5. Step 5: Solve for x
    x = 11,887.81/76.31
  6. Step 6: Final answer
    x = 155.78

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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.