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Finding the Third Proportional to 120,186.75 and 174,079.13

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Solution

The third proportional to 120,186.75 and 174,079.13 is: 252,137.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,186.75 : 174,079.13 = 174,079.13 : x
  2. Step 2: Convert to fraction form
    120,186.75/174,079.13 = 174,079.13/x
  3. Step 3: Cross multiply
    120,186.75x = 174,079.13 × 174,079.13
  4. Step 4: Simplify right side
    120,186.75x = 30,303,541,760.77
  5. Step 5: Solve for x
    x = 30,303,541,760.77/120,186.75
  6. Step 6: Final answer
    x = 252,137.13

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.