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Finding the Third Proportional to 112,919.63 and 174,940.31

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Solution

The third proportional to 112,919.63 and 174,940.31 is: 271,025.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,919.63 : 174,940.31 = 174,940.31 : x
  2. Step 2: Convert to fraction form
    112,919.63/174,940.31 = 174,940.31/x
  3. Step 3: Cross multiply
    112,919.63x = 174,940.31 × 174,940.31
  4. Step 4: Simplify right side
    112,919.63x = 30,604,112,937.60
  5. Step 5: Solve for x
    x = 30,604,112,937.60/112,919.63
  6. Step 6: Final answer
    x = 271,025.63

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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.