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Finding the Third Proportional to 79,671 and 174,894

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Solution

The third proportional to 79,671 and 174,894 is: 383,927.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,671 : 174,894 = 174,894 : x
  2. Step 2: Convert to fraction form
    79,671/174,894 = 174,894/x
  3. Step 3: Cross multiply
    79,671x = 174,894 × 174,894
  4. Step 4: Simplify right side
    79,671x = 30,587,911,236
  5. Step 5: Solve for x
    x = 30,587,911,236/79,671
  6. Step 6: Final answer
    x = 383,927.79

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.