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Finding the Third Proportional to 46,806 and 107,511

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Solution

The third proportional to 46,806 and 107,511 is: 246,947.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,806 : 107,511 = 107,511 : x
  2. Step 2: Convert to fraction form
    46,806/107,511 = 107,511/x
  3. Step 3: Cross multiply
    46,806x = 107,511 × 107,511
  4. Step 4: Simplify right side
    46,806x = 11,558,615,121
  5. Step 5: Solve for x
    x = 11,558,615,121/46,806
  6. Step 6: Final answer
    x = 246,947.30

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.