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Finding the Third Proportional to 56,998.69 and 110,170.13

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Solution

The third proportional to 56,998.69 and 110,170.13 is: 212,942.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,998.69 : 110,170.13 = 110,170.13 : x
  2. Step 2: Convert to fraction form
    56,998.69/110,170.13 = 110,170.13/x
  3. Step 3: Cross multiply
    56,998.69x = 110,170.13 × 110,170.13
  4. Step 4: Simplify right side
    56,998.69x = 12,137,456,442.52
  5. Step 5: Solve for x
    x = 12,137,456,442.52/56,998.69
  6. Step 6: Final answer
    x = 212,942.74

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.