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Finding the Third Proportional to 71,220.75 and 151,975.88

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Solution

The third proportional to 71,220.75 and 151,975.88 is: 324,296.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,220.75 : 151,975.88 = 151,975.88 : x
  2. Step 2: Convert to fraction form
    71,220.75/151,975.88 = 151,975.88/x
  3. Step 3: Cross multiply
    71,220.75x = 151,975.88 × 151,975.88
  4. Step 4: Simplify right side
    71,220.75x = 23,096,666,582.02
  5. Step 5: Solve for x
    x = 23,096,666,582.02/71,220.75
  6. Step 6: Final answer
    x = 324,296.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.