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Finding the Third Proportional to 42,950.25 and 92,051.44

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Solution

The third proportional to 42,950.25 and 92,051.44 is: 197,285.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,950.25 : 92,051.44 = 92,051.44 : x
  2. Step 2: Convert to fraction form
    42,950.25/92,051.44 = 92,051.44/x
  3. Step 3: Cross multiply
    42,950.25x = 92,051.44 × 92,051.44
  4. Step 4: Simplify right side
    42,950.25x = 8,473,467,145.82
  5. Step 5: Solve for x
    x = 8,473,467,145.82/42,950.25
  6. Step 6: Final answer
    x = 197,285.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.