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Finding the Third Proportional to 51,318 and 81,981

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Solution

The third proportional to 51,318 and 81,981 is: 130,965.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,318 : 81,981 = 81,981 : x
  2. Step 2: Convert to fraction form
    51,318/81,981 = 81,981/x
  3. Step 3: Cross multiply
    51,318x = 81,981 × 81,981
  4. Step 4: Simplify right side
    51,318x = 6,720,884,361
  5. Step 5: Solve for x
    x = 6,720,884,361/51,318
  6. Step 6: Final answer
    x = 130,965.44

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.