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Finding the Third Proportional to 103,335.75 and 165,255.19

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Solution

The third proportional to 103,335.75 and 165,255.19 is: 264,277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,335.75 : 165,255.19 = 165,255.19 : x
  2. Step 2: Convert to fraction form
    103,335.75/165,255.19 = 165,255.19/x
  3. Step 3: Cross multiply
    103,335.75x = 165,255.19 × 165,255.19
  4. Step 4: Simplify right side
    103,335.75x = 27,309,276,995.66
  5. Step 5: Solve for x
    x = 27,309,276,995.66/103,335.75
  6. Step 6: Final answer
    x = 264,277.15

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.