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Finding the Third Proportional to 51,522 and 81,891

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Solution

The third proportional to 51,522 and 81,891 is: 130,160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,522 : 81,891 = 81,891 : x
  2. Step 2: Convert to fraction form
    51,522/81,891 = 81,891/x
  3. Step 3: Cross multiply
    51,522x = 81,891 × 81,891
  4. Step 4: Simplify right side
    51,522x = 6,706,135,881
  5. Step 5: Solve for x
    x = 6,706,135,881/51,522
  6. Step 6: Final answer
    x = 130,160.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.