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Finding the Third Proportional to 103,650 and 165,255

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Solution

The third proportional to 103,650 and 165,255 is: 263,475.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,650 : 165,255 = 165,255 : x
  2. Step 2: Convert to fraction form
    103,650/165,255 = 165,255/x
  3. Step 3: Cross multiply
    103,650x = 165,255 × 165,255
  4. Step 4: Simplify right side
    103,650x = 27,309,215,025
  5. Step 5: Solve for x
    x = 27,309,215,025/103,650
  6. Step 6: Final answer
    x = 263,475.30

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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.