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Finding the Third Proportional to 71.25 and 110.06

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Solution

The third proportional to 71.25 and 110.06 is: 170.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.25 : 110.06 = 110.06 : x
  2. Step 2: Convert to fraction form
    71.25/110.06 = 110.06/x
  3. Step 3: Cross multiply
    71.25x = 110.06 × 110.06
  4. Step 4: Simplify right side
    71.25x = 12,113.75
  5. Step 5: Solve for x
    x = 12,113.75/71.25
  6. Step 6: Final answer
    x = 170.02

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.