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Finding the Third Proportional to 76,770 and 117,825

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Solution

The third proportional to 76,770 and 117,825 is: 180,835.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,770 : 117,825 = 117,825 : x
  2. Step 2: Convert to fraction form
    76,770/117,825 = 117,825/x
  3. Step 3: Cross multiply
    76,770x = 117,825 × 117,825
  4. Step 4: Simplify right side
    76,770x = 13,882,730,625
  5. Step 5: Solve for x
    x = 13,882,730,625/76,770
  6. Step 6: Final answer
    x = 180,835.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.