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Finding the Third Proportional to 76,670 and 119,010

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Solution

The third proportional to 76,670 and 119,010 is: 184,731.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,670 : 119,010 = 119,010 : x
  2. Step 2: Convert to fraction form
    76,670/119,010 = 119,010/x
  3. Step 3: Cross multiply
    76,670x = 119,010 × 119,010
  4. Step 4: Simplify right side
    76,670x = 14,163,380,100
  5. Step 5: Solve for x
    x = 14,163,380,100/76,670
  6. Step 6: Final answer
    x = 184,731.71

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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.