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Finding the Third Proportional to 79,856 and 119,774

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Solution

The third proportional to 79,856 and 119,774 is: 179,646.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,856 : 119,774 = 119,774 : x
  2. Step 2: Convert to fraction form
    79,856/119,774 = 119,774/x
  3. Step 3: Cross multiply
    79,856x = 119,774 × 119,774
  4. Step 4: Simplify right side
    79,856x = 14,345,811,076
  5. Step 5: Solve for x
    x = 14,345,811,076/79,856
  6. Step 6: Final answer
    x = 179,646.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.