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Finding the Third Proportional to 51,524 and 81,894

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Solution

The third proportional to 51,524 and 81,894 is: 130,165.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,524 : 81,894 = 81,894 : x
  2. Step 2: Convert to fraction form
    51,524/81,894 = 81,894/x
  3. Step 3: Cross multiply
    51,524x = 81,894 × 81,894
  4. Step 4: Simplify right side
    51,524x = 6,706,627,236
  5. Step 5: Solve for x
    x = 6,706,627,236/51,524
  6. Step 6: Final answer
    x = 130,165.11

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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.