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Finding the Third Proportional to 112,954.50 and 174,995.44

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Solution

The third proportional to 112,954.50 and 174,995.44 is: 271,112.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,954.50 : 174,995.44 = 174,995.44 : x
  2. Step 2: Convert to fraction form
    112,954.50/174,995.44 = 174,995.44/x
  3. Step 3: Cross multiply
    112,954.50x = 174,995.44 × 174,995.44
  4. Step 4: Simplify right side
    112,954.50x = 30,623,403,145.82
  5. Step 5: Solve for x
    x = 30,623,403,145.82/112,954.50
  6. Step 6: Final answer
    x = 271,112.73

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Why These Related Problems?

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