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Finding the Third Proportional to 103,639.50 and 165,300.75

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Solution

The third proportional to 103,639.50 and 165,300.75 is: 263,647.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,639.50 : 165,300.75 = 165,300.75 : x
  2. Step 2: Convert to fraction form
    103,639.50/165,300.75 = 165,300.75/x
  3. Step 3: Cross multiply
    103,639.50x = 165,300.75 × 165,300.75
  4. Step 4: Simplify right side
    103,639.50x = 27,324,337,950.56
  5. Step 5: Solve for x
    x = 27,324,337,950.56/103,639.50
  6. Step 6: Final answer
    x = 263,647.91

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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.