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Finding the Third Proportional to 84,756 and 125,686

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Solution

The third proportional to 84,756 and 125,686 is: 186,381.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,756 : 125,686 = 125,686 : x
  2. Step 2: Convert to fraction form
    84,756/125,686 = 125,686/x
  3. Step 3: Cross multiply
    84,756x = 125,686 × 125,686
  4. Step 4: Simplify right side
    84,756x = 15,796,970,596
  5. Step 5: Solve for x
    x = 15,796,970,596/84,756
  6. Step 6: Final answer
    x = 186,381.74

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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.