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Finding the Third Proportional to 46,973 and 98,562

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Solution

The third proportional to 46,973 and 98,562 is: 206,809.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,973 : 98,562 = 98,562 : x
  2. Step 2: Convert to fraction form
    46,973/98,562 = 98,562/x
  3. Step 3: Cross multiply
    46,973x = 98,562 × 98,562
  4. Step 4: Simplify right side
    46,973x = 9,714,467,844
  5. Step 5: Solve for x
    x = 9,714,467,844/46,973
  6. Step 6: Final answer
    x = 206,809.61

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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.