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Finding the Third Proportional to 96,572 and 204,736

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Solution

The third proportional to 96,572 and 204,736 is: 434,047.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,572 : 204,736 = 204,736 : x
  2. Step 2: Convert to fraction form
    96,572/204,736 = 204,736/x
  3. Step 3: Cross multiply
    96,572x = 204,736 × 204,736
  4. Step 4: Simplify right side
    96,572x = 41,916,829,696
  5. Step 5: Solve for x
    x = 41,916,829,696/96,572
  6. Step 6: Final answer
    x = 434,047.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.