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Finding the Third Proportional to 46,254 and 108,097

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Solution

The third proportional to 46,254 and 108,097 is: 252,625.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,254 : 108,097 = 108,097 : x
  2. Step 2: Convert to fraction form
    46,254/108,097 = 108,097/x
  3. Step 3: Cross multiply
    46,254x = 108,097 × 108,097
  4. Step 4: Simplify right side
    46,254x = 11,684,961,409
  5. Step 5: Solve for x
    x = 11,684,961,409/46,254
  6. Step 6: Final answer
    x = 252,625.97

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.