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Finding the Third Proportional to 112,917.38 and 174,936.94

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Solution

The third proportional to 112,917.38 and 174,936.94 is: 271,020.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,917.38 : 174,936.94 = 174,936.94 : x
  2. Step 2: Convert to fraction form
    112,917.38/174,936.94 = 174,936.94/x
  3. Step 3: Cross multiply
    112,917.38x = 174,936.94 × 174,936.94
  4. Step 4: Simplify right side
    112,917.38x = 30,602,932,101.88
  5. Step 5: Solve for x
    x = 30,602,932,101.88/112,917.38
  6. Step 6: Final answer
    x = 271,020.58

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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.