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Finding the Third Proportional to 84,132 and 185,766

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Solution

The third proportional to 84,132 and 185,766 is: 410,176.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,132 : 185,766 = 185,766 : x
  2. Step 2: Convert to fraction form
    84,132/185,766 = 185,766/x
  3. Step 3: Cross multiply
    84,132x = 185,766 × 185,766
  4. Step 4: Simplify right side
    84,132x = 34,509,006,756
  5. Step 5: Solve for x
    x = 34,509,006,756/84,132
  6. Step 6: Final answer
    x = 410,176.95

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.