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Finding the Third Proportional to 103,708 and 164,903

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Solution

The third proportional to 103,708 and 164,903 is: 262,207.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,708 : 164,903 = 164,903 : x
  2. Step 2: Convert to fraction form
    103,708/164,903 = 164,903/x
  3. Step 3: Cross multiply
    103,708x = 164,903 × 164,903
  4. Step 4: Simplify right side
    103,708x = 27,192,999,409
  5. Step 5: Solve for x
    x = 27,192,999,409/103,708
  6. Step 6: Final answer
    x = 262,207.35

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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.