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Finding the Third Proportional to 103,627 and 164,633

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Solution

The third proportional to 103,627 and 164,633 is: 261,553.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,627 : 164,633 = 164,633 : x
  2. Step 2: Convert to fraction form
    103,627/164,633 = 164,633/x
  3. Step 3: Cross multiply
    103,627x = 164,633 × 164,633
  4. Step 4: Simplify right side
    103,627x = 27,104,024,689
  5. Step 5: Solve for x
    x = 27,104,024,689/103,627
  6. Step 6: Final answer
    x = 261,553.69

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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.