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Finding the Third Proportional to 51,069 and 71,499

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Solution

The third proportional to 51,069 and 71,499 is: 100,101.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,069 : 71,499 = 71,499 : x
  2. Step 2: Convert to fraction form
    51,069/71,499 = 71,499/x
  3. Step 3: Cross multiply
    51,069x = 71,499 × 71,499
  4. Step 4: Simplify right side
    51,069x = 5,112,107,001
  5. Step 5: Solve for x
    x = 5,112,107,001/51,069
  6. Step 6: Final answer
    x = 100,101.96

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.