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Finding the Third Proportional to 94,742 and 204,664

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Solution

The third proportional to 94,742 and 204,664 is: 442,120.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,742 : 204,664 = 204,664 : x
  2. Step 2: Convert to fraction form
    94,742/204,664 = 204,664/x
  3. Step 3: Cross multiply
    94,742x = 204,664 × 204,664
  4. Step 4: Simplify right side
    94,742x = 41,887,352,896
  5. Step 5: Solve for x
    x = 41,887,352,896/94,742
  6. Step 6: Final answer
    x = 442,120.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.