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Finding the Third Proportional to 70,382.25 and 106,180.88

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Solution

The third proportional to 70,382.25 and 106,180.88 is: 160,187.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,382.25 : 106,180.88 = 106,180.88 : x
  2. Step 2: Convert to fraction form
    70,382.25/106,180.88 = 106,180.88/x
  3. Step 3: Cross multiply
    70,382.25x = 106,180.88 × 106,180.88
  4. Step 4: Simplify right side
    70,382.25x = 11,274,378,215.77
  5. Step 5: Solve for x
    x = 11,274,378,215.77/70,382.25
  6. Step 6: Final answer
    x = 160,187.81

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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.