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Finding the Third Proportional to 84,372 and 125,261

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Solution

The third proportional to 84,372 and 125,261 is: 185,965.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,372 : 125,261 = 125,261 : x
  2. Step 2: Convert to fraction form
    84,372/125,261 = 125,261/x
  3. Step 3: Cross multiply
    84,372x = 125,261 × 125,261
  4. Step 4: Simplify right side
    84,372x = 15,690,318,121
  5. Step 5: Solve for x
    x = 15,690,318,121/84,372
  6. Step 6: Final answer
    x = 185,965.94

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.