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Finding the Third Proportional to 76,057 and 118,234

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Solution

The third proportional to 76,057 and 118,234 is: 183,800.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,057 : 118,234 = 118,234 : x
  2. Step 2: Convert to fraction form
    76,057/118,234 = 118,234/x
  3. Step 3: Cross multiply
    76,057x = 118,234 × 118,234
  4. Step 4: Simplify right side
    76,057x = 13,979,278,756
  5. Step 5: Solve for x
    x = 13,979,278,756/76,057
  6. Step 6: Final answer
    x = 183,800.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.