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Finding the Third Proportional to 80,503 and 105,890

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Solution

The third proportional to 80,503 and 105,890 is: 139,282.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,503 : 105,890 = 105,890 : x
  2. Step 2: Convert to fraction form
    80,503/105,890 = 105,890/x
  3. Step 3: Cross multiply
    80,503x = 105,890 × 105,890
  4. Step 4: Simplify right side
    80,503x = 11,212,692,100
  5. Step 5: Solve for x
    x = 11,212,692,100/80,503
  6. Step 6: Final answer
    x = 139,282.91

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.