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Finding the Third Proportional to 59,519 and 81,052

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Solution

The third proportional to 59,519 and 81,052 is: 110,375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,519 : 81,052 = 81,052 : x
  2. Step 2: Convert to fraction form
    59,519/81,052 = 81,052/x
  3. Step 3: Cross multiply
    59,519x = 81,052 × 81,052
  4. Step 4: Simplify right side
    59,519x = 6,569,426,704
  5. Step 5: Solve for x
    x = 6,569,426,704/59,519
  6. Step 6: Final answer
    x = 110,375.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.