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Finding the Third Proportional to 102,974 and 159,190

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Solution

The third proportional to 102,974 and 159,190 is: 246,095.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,974 : 159,190 = 159,190 : x
  2. Step 2: Convert to fraction form
    102,974/159,190 = 159,190/x
  3. Step 3: Cross multiply
    102,974x = 159,190 × 159,190
  4. Step 4: Simplify right side
    102,974x = 25,341,456,100
  5. Step 5: Solve for x
    x = 25,341,456,100/102,974
  6. Step 6: Final answer
    x = 246,095.68

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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.