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Finding the Third Proportional to 79,927 and 119,341

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Solution

The third proportional to 79,927 and 119,341 is: 178,191.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,927 : 119,341 = 119,341 : x
  2. Step 2: Convert to fraction form
    79,927/119,341 = 119,341/x
  3. Step 3: Cross multiply
    79,927x = 119,341 × 119,341
  4. Step 4: Simplify right side
    79,927x = 14,242,274,281
  5. Step 5: Solve for x
    x = 14,242,274,281/79,927
  6. Step 6: Final answer
    x = 178,191.03

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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.