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Finding the Third Proportional to 75,873 and 119,006

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Solution

The third proportional to 75,873 and 119,006 is: 186,659.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,873 : 119,006 = 119,006 : x
  2. Step 2: Convert to fraction form
    75,873/119,006 = 119,006/x
  3. Step 3: Cross multiply
    75,873x = 119,006 × 119,006
  4. Step 4: Simplify right side
    75,873x = 14,162,428,036
  5. Step 5: Solve for x
    x = 14,162,428,036/75,873
  6. Step 6: Final answer
    x = 186,659.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.