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Finding the Third Proportional to 46,973 and 102,996

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Solution

The third proportional to 46,973 and 102,996 is: 225,835.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,973 : 102,996 = 102,996 : x
  2. Step 2: Convert to fraction form
    46,973/102,996 = 102,996/x
  3. Step 3: Cross multiply
    46,973x = 102,996 × 102,996
  4. Step 4: Simplify right side
    46,973x = 10,608,176,016
  5. Step 5: Solve for x
    x = 10,608,176,016/46,973
  6. Step 6: Final answer
    x = 225,835.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.