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Finding the Third Proportional to 104,449.50 and 162,144

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Solution

The third proportional to 104,449.50 and 162,144 is: 251,707.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,449.50 : 162,144 = 162,144 : x
  2. Step 2: Convert to fraction form
    104,449.50/162,144 = 162,144/x
  3. Step 3: Cross multiply
    104,449.50x = 162,144 × 162,144
  4. Step 4: Simplify right side
    104,449.50x = 26,290,676,736
  5. Step 5: Solve for x
    x = 26,290,676,736/104,449.50
  6. Step 6: Final answer
    x = 251,707.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.