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Finding the Third Proportional to 51,874 and 82,346

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Solution

The third proportional to 51,874 and 82,346 is: 130,717.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,874 : 82,346 = 82,346 : x
  2. Step 2: Convert to fraction form
    51,874/82,346 = 82,346/x
  3. Step 3: Cross multiply
    51,874x = 82,346 × 82,346
  4. Step 4: Simplify right side
    51,874x = 6,780,863,716
  5. Step 5: Solve for x
    x = 6,780,863,716/51,874
  6. Step 6: Final answer
    x = 130,717.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.