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Finding the Third Proportional to 103,610 and 159,990

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Solution

The third proportional to 103,610 and 159,990 is: 247,049.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,610 : 159,990 = 159,990 : x
  2. Step 2: Convert to fraction form
    103,610/159,990 = 159,990/x
  3. Step 3: Cross multiply
    103,610x = 159,990 × 159,990
  4. Step 4: Simplify right side
    103,610x = 25,596,800,100
  5. Step 5: Solve for x
    x = 25,596,800,100/103,610
  6. Step 6: Final answer
    x = 247,049.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.