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Finding the Third Proportional to 90,465.75 and 129,825

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Solution

The third proportional to 90,465.75 and 129,825 is: 186,308.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,465.75 : 129,825 = 129,825 : x
  2. Step 2: Convert to fraction form
    90,465.75/129,825 = 129,825/x
  3. Step 3: Cross multiply
    90,465.75x = 129,825 × 129,825
  4. Step 4: Simplify right side
    90,465.75x = 16,854,530,625
  5. Step 5: Solve for x
    x = 16,854,530,625/90,465.75
  6. Step 6: Final answer
    x = 186,308.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.