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Finding the Third Proportional to 75,834 and 163,116

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Solution

The third proportional to 75,834 and 163,116 is: 350,856.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,834 : 163,116 = 163,116 : x
  2. Step 2: Convert to fraction form
    75,834/163,116 = 163,116/x
  3. Step 3: Cross multiply
    75,834x = 163,116 × 163,116
  4. Step 4: Simplify right side
    75,834x = 26,606,829,456
  5. Step 5: Solve for x
    x = 26,606,829,456/75,834
  6. Step 6: Final answer
    x = 350,856.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.