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Finding the Third Proportional to 46,066 and 68,816

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Solution

The third proportional to 46,066 and 68,816 is: 102,801.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,066 : 68,816 = 68,816 : x
  2. Step 2: Convert to fraction form
    46,066/68,816 = 68,816/x
  3. Step 3: Cross multiply
    46,066x = 68,816 × 68,816
  4. Step 4: Simplify right side
    46,066x = 4,735,641,856
  5. Step 5: Solve for x
    x = 4,735,641,856/46,066
  6. Step 6: Final answer
    x = 102,801.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.