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Finding the Third Proportional to 71.25 and 118.50

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Solution

The third proportional to 71.25 and 118.50 is: 197.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.25 : 118.50 = 118.50 : x
  2. Step 2: Convert to fraction form
    71.25/118.50 = 118.50/x
  3. Step 3: Cross multiply
    71.25x = 118.50 × 118.50
  4. Step 4: Simplify right side
    71.25x = 14,042.25
  5. Step 5: Solve for x
    x = 14,042.25/71.25
  6. Step 6: Final answer
    x = 197.08

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.