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Finding the Third Proportional to 142,072.50 and 220,578.75

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Solution

The third proportional to 142,072.50 and 220,578.75 is: 342,465.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,072.50 : 220,578.75 = 220,578.75 : x
  2. Step 2: Convert to fraction form
    142,072.50/220,578.75 = 220,578.75/x
  3. Step 3: Cross multiply
    142,072.50x = 220,578.75 × 220,578.75
  4. Step 4: Simplify right side
    142,072.50x = 48,654,984,951.56
  5. Step 5: Solve for x
    x = 48,654,984,951.56/142,072.50
  6. Step 6: Final answer
    x = 342,465.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.