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Finding the Third Proportional to 103,665 and 165,032

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Solution

The third proportional to 103,665 and 165,032 is: 262,726.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,665 : 165,032 = 165,032 : x
  2. Step 2: Convert to fraction form
    103,665/165,032 = 165,032/x
  3. Step 3: Cross multiply
    103,665x = 165,032 × 165,032
  4. Step 4: Simplify right side
    103,665x = 27,235,561,024
  5. Step 5: Solve for x
    x = 27,235,561,024/103,665
  6. Step 6: Final answer
    x = 262,726.68

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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.