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Finding the Third Proportional to 103,699 and 164,889

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Solution

The third proportional to 103,699 and 164,889 is: 262,185.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,699 : 164,889 = 164,889 : x
  2. Step 2: Convert to fraction form
    103,699/164,889 = 164,889/x
  3. Step 3: Cross multiply
    103,699x = 164,889 × 164,889
  4. Step 4: Simplify right side
    103,699x = 27,188,382,321
  5. Step 5: Solve for x
    x = 27,188,382,321/103,699
  6. Step 6: Final answer
    x = 262,185.58

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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.