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Finding the Third Proportional to 96,576 and 201,972

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Solution

The third proportional to 96,576 and 201,972 is: 422,389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,576 : 201,972 = 201,972 : x
  2. Step 2: Convert to fraction form
    96,576/201,972 = 201,972/x
  3. Step 3: Cross multiply
    96,576x = 201,972 × 201,972
  4. Step 4: Simplify right side
    96,576x = 40,792,688,784
  5. Step 5: Solve for x
    x = 40,792,688,784/96,576
  6. Step 6: Final answer
    x = 422,389.50

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.