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Finding the Third Proportional to 51,890 and 80,499

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Solution

The third proportional to 51,890 and 80,499 is: 124,881.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,890 : 80,499 = 80,499 : x
  2. Step 2: Convert to fraction form
    51,890/80,499 = 80,499/x
  3. Step 3: Cross multiply
    51,890x = 80,499 × 80,499
  4. Step 4: Simplify right side
    51,890x = 6,480,089,001
  5. Step 5: Solve for x
    x = 6,480,089,001/51,890
  6. Step 6: Final answer
    x = 124,881.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.