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Finding the Third Proportional to 105,863 and 164,097

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Solution

The third proportional to 105,863 and 164,097 is: 254,364.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,863 : 164,097 = 164,097 : x
  2. Step 2: Convert to fraction form
    105,863/164,097 = 164,097/x
  3. Step 3: Cross multiply
    105,863x = 164,097 × 164,097
  4. Step 4: Simplify right side
    105,863x = 26,927,825,409
  5. Step 5: Solve for x
    x = 26,927,825,409/105,863
  6. Step 6: Final answer
    x = 254,364.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.