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Finding the Third Proportional to 86,582 and 126,759

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Solution

The third proportional to 86,582 and 126,759 is: 185,579.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,582 : 126,759 = 126,759 : x
  2. Step 2: Convert to fraction form
    86,582/126,759 = 126,759/x
  3. Step 3: Cross multiply
    86,582x = 126,759 × 126,759
  4. Step 4: Simplify right side
    86,582x = 16,067,844,081
  5. Step 5: Solve for x
    x = 16,067,844,081/86,582
  6. Step 6: Final answer
    x = 185,579.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.