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Finding the Third Proportional to 75,872 and 119,004

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Solution

The third proportional to 75,872 and 119,004 is: 186,655.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,872 : 119,004 = 119,004 : x
  2. Step 2: Convert to fraction form
    75,872/119,004 = 119,004/x
  3. Step 3: Cross multiply
    75,872x = 119,004 × 119,004
  4. Step 4: Simplify right side
    75,872x = 14,161,952,016
  5. Step 5: Solve for x
    x = 14,161,952,016/75,872
  6. Step 6: Final answer
    x = 186,655.84

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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.