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Finding the Third Proportional to 46,077 and 96,796

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Solution

The third proportional to 46,077 and 96,796 is: 203,343.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,077 : 96,796 = 96,796 : x
  2. Step 2: Convert to fraction form
    46,077/96,796 = 96,796/x
  3. Step 3: Cross multiply
    46,077x = 96,796 × 96,796
  4. Step 4: Simplify right side
    46,077x = 9,369,465,616
  5. Step 5: Solve for x
    x = 9,369,465,616/46,077
  6. Step 6: Final answer
    x = 203,343.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.