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Finding the Third Proportional to 79,839.75 and 174,373.13

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Solution

The third proportional to 79,839.75 and 174,373.13 is: 380,837.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,839.75 : 174,373.13 = 174,373.13 : x
  2. Step 2: Convert to fraction form
    79,839.75/174,373.13 = 174,373.13/x
  3. Step 3: Cross multiply
    79,839.75x = 174,373.13 × 174,373.13
  4. Step 4: Simplify right side
    79,839.75x = 30,405,986,722.27
  5. Step 5: Solve for x
    x = 30,405,986,722.27/79,839.75
  6. Step 6: Final answer
    x = 380,837.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.