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Finding the Third Proportional to 76,668 and 119,007

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Solution

The third proportional to 76,668 and 119,007 is: 184,727.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,668 : 119,007 = 119,007 : x
  2. Step 2: Convert to fraction form
    76,668/119,007 = 119,007/x
  3. Step 3: Cross multiply
    76,668x = 119,007 × 119,007
  4. Step 4: Simplify right side
    76,668x = 14,162,666,049
  5. Step 5: Solve for x
    x = 14,162,666,049/76,668
  6. Step 6: Final answer
    x = 184,727.21

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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.