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Finding the Third Proportional to 81,711 and 110,893.50

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Solution

The third proportional to 81,711 and 110,893.50 is: 150,498.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,711 : 110,893.50 = 110,893.50 : x
  2. Step 2: Convert to fraction form
    81,711/110,893.50 = 110,893.50/x
  3. Step 3: Cross multiply
    81,711x = 110,893.50 × 110,893.50
  4. Step 4: Simplify right side
    81,711x = 12,297,368,342.25
  5. Step 5: Solve for x
    x = 12,297,368,342.25/81,711
  6. Step 6: Final answer
    x = 150,498.32

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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.