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Finding the Third Proportional to 54,620 and 82,315

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Solution

The third proportional to 54,620 and 82,315 is: 124,052.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,620 : 82,315 = 82,315 : x
  2. Step 2: Convert to fraction form
    54,620/82,315 = 82,315/x
  3. Step 3: Cross multiply
    54,620x = 82,315 × 82,315
  4. Step 4: Simplify right side
    54,620x = 6,775,759,225
  5. Step 5: Solve for x
    x = 6,775,759,225/54,620
  6. Step 6: Final answer
    x = 124,052.71

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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.