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Finding the Third Proportional to 96,896 and 201,082

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Solution

The third proportional to 96,896 and 201,082 is: 417,292.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,896 : 201,082 = 201,082 : x
  2. Step 2: Convert to fraction form
    96,896/201,082 = 201,082/x
  3. Step 3: Cross multiply
    96,896x = 201,082 × 201,082
  4. Step 4: Simplify right side
    96,896x = 40,433,970,724
  5. Step 5: Solve for x
    x = 40,433,970,724/96,896
  6. Step 6: Final answer
    x = 417,292.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.