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Finding the Third Proportional to 51,519 and 73,534.50

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Solution

The third proportional to 51,519 and 73,534.50 is: 104,957.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,519 : 73,534.50 = 73,534.50 : x
  2. Step 2: Convert to fraction form
    51,519/73,534.50 = 73,534.50/x
  3. Step 3: Cross multiply
    51,519x = 73,534.50 × 73,534.50
  4. Step 4: Simplify right side
    51,519x = 5,407,322,690.25
  5. Step 5: Solve for x
    x = 5,407,322,690.25/51,519
  6. Step 6: Final answer
    x = 104,957.83

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.