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Finding the Third Proportional to 81,894 and 125,026

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Solution

The third proportional to 81,894 and 125,026 is: 190,874.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,894 : 125,026 = 125,026 : x
  2. Step 2: Convert to fraction form
    81,894/125,026 = 125,026/x
  3. Step 3: Cross multiply
    81,894x = 125,026 × 125,026
  4. Step 4: Simplify right side
    81,894x = 15,631,500,676
  5. Step 5: Solve for x
    x = 15,631,500,676/81,894
  6. Step 6: Final answer
    x = 190,874.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.