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Finding the Third Proportional to 96,264 and 201,272

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Solution

The third proportional to 96,264 and 201,272 is: 420,826.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,264 : 201,272 = 201,272 : x
  2. Step 2: Convert to fraction form
    96,264/201,272 = 201,272/x
  3. Step 3: Cross multiply
    96,264x = 201,272 × 201,272
  4. Step 4: Simplify right side
    96,264x = 40,510,417,984
  5. Step 5: Solve for x
    x = 40,510,417,984/96,264
  6. Step 6: Final answer
    x = 420,826.25

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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.