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Finding the Third Proportional to 83,126 and 125,562

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Solution

The third proportional to 83,126 and 125,562 is: 189,661.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,126 : 125,562 = 125,562 : x
  2. Step 2: Convert to fraction form
    83,126/125,562 = 125,562/x
  3. Step 3: Cross multiply
    83,126x = 125,562 × 125,562
  4. Step 4: Simplify right side
    83,126x = 15,765,815,844
  5. Step 5: Solve for x
    x = 15,765,815,844/83,126
  6. Step 6: Final answer
    x = 189,661.67

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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.