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Finding the Third Proportional to 71,768.53 and 167,632.03

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Solution

The third proportional to 71,768.53 and 167,632.03 is: 391,543.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,768.53 : 167,632.03 = 167,632.03 : x
  2. Step 2: Convert to fraction form
    71,768.53/167,632.03 = 167,632.03/x
  3. Step 3: Cross multiply
    71,768.53x = 167,632.03 × 167,632.03
  4. Step 4: Simplify right side
    71,768.53x = 28,100,497,901.00
  5. Step 5: Solve for x
    x = 28,100,497,901.00/71,768.53
  6. Step 6: Final answer
    x = 391,543.44

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.