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Finding the Third Proportional to 112,542.75 and 174,207.38

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Solution

The third proportional to 112,542.75 and 174,207.38 is: 269,659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,542.75 : 174,207.38 = 174,207.38 : x
  2. Step 2: Convert to fraction form
    112,542.75/174,207.38 = 174,207.38/x
  3. Step 3: Cross multiply
    112,542.75x = 174,207.38 × 174,207.38
  4. Step 4: Simplify right side
    112,542.75x = 30,348,209,504.39
  5. Step 5: Solve for x
    x = 30,348,209,504.39/112,542.75
  6. Step 6: Final answer
    x = 269,659.39

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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.