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Finding the Third Proportional to 103,629 and 164,636

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Solution

The third proportional to 103,629 and 164,636 is: 261,558.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,629 : 164,636 = 164,636 : x
  2. Step 2: Convert to fraction form
    103,629/164,636 = 164,636/x
  3. Step 3: Cross multiply
    103,629x = 164,636 × 164,636
  4. Step 4: Simplify right side
    103,629x = 27,105,012,496
  5. Step 5: Solve for x
    x = 27,105,012,496/103,629
  6. Step 6: Final answer
    x = 261,558.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.