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Finding the Third Proportional to 53.75 and 84.06

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Solution

The third proportional to 53.75 and 84.06 is: 131.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.75 : 84.06 = 84.06 : x
  2. Step 2: Convert to fraction form
    53.75/84.06 = 84.06/x
  3. Step 3: Cross multiply
    53.75x = 84.06 × 84.06
  4. Step 4: Simplify right side
    53.75x = 7,066.50
  5. Step 5: Solve for x
    x = 7,066.50/53.75
  6. Step 6: Final answer
    x = 131.47

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.