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Finding the Third Proportional to 50,314.50 and 68,090.63

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Solution

The third proportional to 50,314.50 and 68,090.63 is: 92,147.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,314.50 : 68,090.63 = 68,090.63 : x
  2. Step 2: Convert to fraction form
    50,314.50/68,090.63 = 68,090.63/x
  3. Step 3: Cross multiply
    50,314.50x = 68,090.63 × 68,090.63
  4. Step 4: Simplify right side
    50,314.50x = 4,636,333,212.89
  5. Step 5: Solve for x
    x = 4,636,333,212.89/50,314.50
  6. Step 6: Final answer
    x = 92,147.06

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.