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Finding the Third Proportional to 102,163 and 158,559

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Solution

The third proportional to 102,163 and 158,559 is: 246,086.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,163 : 158,559 = 158,559 : x
  2. Step 2: Convert to fraction form
    102,163/158,559 = 158,559/x
  3. Step 3: Cross multiply
    102,163x = 158,559 × 158,559
  4. Step 4: Simplify right side
    102,163x = 25,140,956,481
  5. Step 5: Solve for x
    x = 25,140,956,481/102,163
  6. Step 6: Final answer
    x = 246,086.71

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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.