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Finding the Third Proportional to 82,346 and 125,622

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Solution

The third proportional to 82,346 and 125,622 is: 191,641.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,346 : 125,622 = 125,622 : x
  2. Step 2: Convert to fraction form
    82,346/125,622 = 125,622/x
  3. Step 3: Cross multiply
    82,346x = 125,622 × 125,622
  4. Step 4: Simplify right side
    82,346x = 15,780,886,884
  5. Step 5: Solve for x
    x = 15,780,886,884/82,346
  6. Step 6: Final answer
    x = 191,641.21

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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.