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Finding the Third Proportional to 50,747 and 72,128

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Solution

The third proportional to 50,747 and 72,128 is: 102,517.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,747 : 72,128 = 72,128 : x
  2. Step 2: Convert to fraction form
    50,747/72,128 = 72,128/x
  3. Step 3: Cross multiply
    50,747x = 72,128 × 72,128
  4. Step 4: Simplify right side
    50,747x = 5,202,448,384
  5. Step 5: Solve for x
    x = 5,202,448,384/50,747
  6. Step 6: Final answer
    x = 102,517.36

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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.