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Finding the Third Proportional to 112,645.69 and 174,361.99

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Solution

The third proportional to 112,645.69 and 174,361.99 is: 269,891.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,645.69 : 174,361.99 = 174,361.99 : x
  2. Step 2: Convert to fraction form
    112,645.69/174,361.99 = 174,361.99/x
  3. Step 3: Cross multiply
    112,645.69x = 174,361.99 × 174,361.99
  4. Step 4: Simplify right side
    112,645.69x = 30,402,104,319.59
  5. Step 5: Solve for x
    x = 30,402,104,319.59/112,645.69
  6. Step 6: Final answer
    x = 269,891.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.