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Finding the Third Proportional to 54,245 and 82,133

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Solution

The third proportional to 54,245 and 82,133 is: 124,358.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,245 : 82,133 = 82,133 : x
  2. Step 2: Convert to fraction form
    54,245/82,133 = 82,133/x
  3. Step 3: Cross multiply
    54,245x = 82,133 × 82,133
  4. Step 4: Simplify right side
    54,245x = 6,745,829,689
  5. Step 5: Solve for x
    x = 6,745,829,689/54,245
  6. Step 6: Final answer
    x = 124,358.55

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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.