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Finding the Third Proportional to 98,189 and 155,727

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Solution

The third proportional to 98,189 and 155,727 is: 246,981.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,189 : 155,727 = 155,727 : x
  2. Step 2: Convert to fraction form
    98,189/155,727 = 155,727/x
  3. Step 3: Cross multiply
    98,189x = 155,727 × 155,727
  4. Step 4: Simplify right side
    98,189x = 24,250,898,529
  5. Step 5: Solve for x
    x = 24,250,898,529/98,189
  6. Step 6: Final answer
    x = 246,981.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.