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Finding the Third Proportional to 84,723 and 186,735

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Solution

The third proportional to 84,723 and 186,735 is: 411,576.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,723 : 186,735 = 186,735 : x
  2. Step 2: Convert to fraction form
    84,723/186,735 = 186,735/x
  3. Step 3: Cross multiply
    84,723x = 186,735 × 186,735
  4. Step 4: Simplify right side
    84,723x = 34,869,960,225
  5. Step 5: Solve for x
    x = 34,869,960,225/84,723
  6. Step 6: Final answer
    x = 411,576.08

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Why These Related Problems?

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