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Finding the Third Proportional to 79,786 and 119,114

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Solution

The third proportional to 79,786 and 119,114 is: 177,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,786 : 119,114 = 119,114 : x
  2. Step 2: Convert to fraction form
    79,786/119,114 = 119,114/x
  3. Step 3: Cross multiply
    79,786x = 119,114 × 119,114
  4. Step 4: Simplify right side
    79,786x = 14,188,144,996
  5. Step 5: Solve for x
    x = 14,188,144,996/79,786
  6. Step 6: Final answer
    x = 177,827.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.