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Finding the Third Proportional to 55,117 and 82,519

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Solution

The third proportional to 55,117 and 82,519 is: 123,544.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,117 : 82,519 = 82,519 : x
  2. Step 2: Convert to fraction form
    55,117/82,519 = 82,519/x
  3. Step 3: Cross multiply
    55,117x = 82,519 × 82,519
  4. Step 4: Simplify right side
    55,117x = 6,809,385,361
  5. Step 5: Solve for x
    x = 6,809,385,361/55,117
  6. Step 6: Final answer
    x = 123,544.19

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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.