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Finding the Third Proportional to 51,799 and 114,489

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Solution

The third proportional to 51,799 and 114,489 is: 253,049.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,799 : 114,489 = 114,489 : x
  2. Step 2: Convert to fraction form
    51,799/114,489 = 114,489/x
  3. Step 3: Cross multiply
    51,799x = 114,489 × 114,489
  4. Step 4: Simplify right side
    51,799x = 13,107,731,121
  5. Step 5: Solve for x
    x = 13,107,731,121/51,799
  6. Step 6: Final answer
    x = 253,049.89

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.