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Finding the Third Proportional to 55,318 and 82,616

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Solution

The third proportional to 55,318 and 82,616 is: 123,384.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,318 : 82,616 = 82,616 : x
  2. Step 2: Convert to fraction form
    55,318/82,616 = 82,616/x
  3. Step 3: Cross multiply
    55,318x = 82,616 × 82,616
  4. Step 4: Simplify right side
    55,318x = 6,825,403,456
  5. Step 5: Solve for x
    x = 6,825,403,456/55,318
  6. Step 6: Final answer
    x = 123,384.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.