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Finding the Third Proportional to 96,172 and 208,564

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Solution

The third proportional to 96,172 and 208,564 is: 452,303.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,172 : 208,564 = 208,564 : x
  2. Step 2: Convert to fraction form
    96,172/208,564 = 208,564/x
  3. Step 3: Cross multiply
    96,172x = 208,564 × 208,564
  4. Step 4: Simplify right side
    96,172x = 43,498,942,096
  5. Step 5: Solve for x
    x = 43,498,942,096/96,172
  6. Step 6: Final answer
    x = 452,303.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.