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Finding the Third Proportional to 46,866 and 102,148

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Solution

The third proportional to 46,866 and 102,148 is: 222,639.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,866 : 102,148 = 102,148 : x
  2. Step 2: Convert to fraction form
    46,866/102,148 = 102,148/x
  3. Step 3: Cross multiply
    46,866x = 102,148 × 102,148
  4. Step 4: Simplify right side
    46,866x = 10,434,213,904
  5. Step 5: Solve for x
    x = 10,434,213,904/46,866
  6. Step 6: Final answer
    x = 222,639.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.