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Finding the Third Proportional to 71,774.50 and 110,173

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Solution

The third proportional to 71,774.50 and 110,173 is: 169,114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,774.50 : 110,173 = 110,173 : x
  2. Step 2: Convert to fraction form
    71,774.50/110,173 = 110,173/x
  3. Step 3: Cross multiply
    71,774.50x = 110,173 × 110,173
  4. Step 4: Simplify right side
    71,774.50x = 12,138,089,929
  5. Step 5: Solve for x
    x = 12,138,089,929/71,774.50
  6. Step 6: Final answer
    x = 169,114.24

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.