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Finding the Third Proportional to 98,055 and 151,515

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Solution

The third proportional to 98,055 and 151,515 is: 234,121.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,055 : 151,515 = 151,515 : x
  2. Step 2: Convert to fraction form
    98,055/151,515 = 151,515/x
  3. Step 3: Cross multiply
    98,055x = 151,515 × 151,515
  4. Step 4: Simplify right side
    98,055x = 22,956,795,225
  5. Step 5: Solve for x
    x = 22,956,795,225/98,055
  6. Step 6: Final answer
    x = 234,121.62

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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.