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Finding the Third Proportional to 73,620 and 158,157

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Solution

The third proportional to 73,620 and 158,157 is: 339,766.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,620 : 158,157 = 158,157 : x
  2. Step 2: Convert to fraction form
    73,620/158,157 = 158,157/x
  3. Step 3: Cross multiply
    73,620x = 158,157 × 158,157
  4. Step 4: Simplify right side
    73,620x = 25,013,636,649
  5. Step 5: Solve for x
    x = 25,013,636,649/73,620
  6. Step 6: Final answer
    x = 339,766.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.