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Finding the Third Proportional to 102,834 and 155,546

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Solution

The third proportional to 102,834 and 155,546 is: 235,277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,834 : 155,546 = 155,546 : x
  2. Step 2: Convert to fraction form
    102,834/155,546 = 155,546/x
  3. Step 3: Cross multiply
    102,834x = 155,546 × 155,546
  4. Step 4: Simplify right side
    102,834x = 24,194,558,116
  5. Step 5: Solve for x
    x = 24,194,558,116/102,834
  6. Step 6: Final answer
    x = 235,277.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.