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Finding the Third Proportional to 103,659 and 165,023

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Solution

The third proportional to 103,659 and 165,023 is: 262,713.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,659 : 165,023 = 165,023 : x
  2. Step 2: Convert to fraction form
    103,659/165,023 = 165,023/x
  3. Step 3: Cross multiply
    103,659x = 165,023 × 165,023
  4. Step 4: Simplify right side
    103,659x = 27,232,590,529
  5. Step 5: Solve for x
    x = 27,232,590,529/103,659
  6. Step 6: Final answer
    x = 262,713.23

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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.