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Finding the Third Proportional to 50,745 and 72,125.25

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Solution

The third proportional to 50,745 and 72,125.25 is: 102,513.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,745 : 72,125.25 = 72,125.25 : x
  2. Step 2: Convert to fraction form
    50,745/72,125.25 = 72,125.25/x
  3. Step 3: Cross multiply
    50,745x = 72,125.25 × 72,125.25
  4. Step 4: Simplify right side
    50,745x = 5,202,051,687.56
  5. Step 5: Solve for x
    x = 5,202,051,687.56/50,745
  6. Step 6: Final answer
    x = 102,513.58

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.