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Finding the Third Proportional to 103,699 and 165,083

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Solution

The third proportional to 103,699 and 165,083 is: 262,802.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,699 : 165,083 = 165,083 : x
  2. Step 2: Convert to fraction form
    103,699/165,083 = 165,083/x
  3. Step 3: Cross multiply
    103,699x = 165,083 × 165,083
  4. Step 4: Simplify right side
    103,699x = 27,252,396,889
  5. Step 5: Solve for x
    x = 27,252,396,889/103,699
  6. Step 6: Final answer
    x = 262,802.89

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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.