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Finding the Third Proportional to 55,106 and 82,446

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Solution

The third proportional to 55,106 and 82,446 is: 123,350.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,106 : 82,446 = 82,446 : x
  2. Step 2: Convert to fraction form
    55,106/82,446 = 82,446/x
  3. Step 3: Cross multiply
    55,106x = 82,446 × 82,446
  4. Step 4: Simplify right side
    55,106x = 6,797,342,916
  5. Step 5: Solve for x
    x = 6,797,342,916/55,106
  6. Step 6: Final answer
    x = 123,350.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.