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Finding the Third Proportional to 79,818 and 119,727

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Solution

The third proportional to 79,818 and 119,727 is: 179,590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,818 : 119,727 = 119,727 : x
  2. Step 2: Convert to fraction form
    79,818/119,727 = 119,727/x
  3. Step 3: Cross multiply
    79,818x = 119,727 × 119,727
  4. Step 4: Simplify right side
    79,818x = 14,334,554,529
  5. Step 5: Solve for x
    x = 14,334,554,529/79,818
  6. Step 6: Final answer
    x = 179,590.50

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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.