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Finding the Third Proportional to 105,116.50 and 165,207.75

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Solution

The third proportional to 105,116.50 and 165,207.75 is: 259,650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,116.50 : 165,207.75 = 165,207.75 : x
  2. Step 2: Convert to fraction form
    105,116.50/165,207.75 = 165,207.75/x
  3. Step 3: Cross multiply
    105,116.50x = 165,207.75 × 165,207.75
  4. Step 4: Simplify right side
    105,116.50x = 27,293,600,660.06
  5. Step 5: Solve for x
    x = 27,293,600,660.06/105,116.50
  6. Step 6: Final answer
    x = 259,650.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.