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Finding the Third Proportional to 105,104 and 163,193

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Solution

The third proportional to 105,104 and 163,193 is: 253,386.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,104 : 163,193 = 163,193 : x
  2. Step 2: Convert to fraction form
    105,104/163,193 = 163,193/x
  3. Step 3: Cross multiply
    105,104x = 163,193 × 163,193
  4. Step 4: Simplify right side
    105,104x = 26,631,955,249
  5. Step 5: Solve for x
    x = 26,631,955,249/105,104
  6. Step 6: Final answer
    x = 253,386.70

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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.