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Finding the Third Proportional to 43,670 and 90,796

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Solution

The third proportional to 43,670 and 90,796 is: 188,777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,670 : 90,796 = 90,796 : x
  2. Step 2: Convert to fraction form
    43,670/90,796 = 90,796/x
  3. Step 3: Cross multiply
    43,670x = 90,796 × 90,796
  4. Step 4: Simplify right side
    43,670x = 8,243,913,616
  5. Step 5: Solve for x
    x = 8,243,913,616/43,670
  6. Step 6: Final answer
    x = 188,777.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.