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Finding the Third Proportional to 88,172 and 195,963

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Solution

The third proportional to 88,172 and 195,963 is: 435,529.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,172 : 195,963 = 195,963 : x
  2. Step 2: Convert to fraction form
    88,172/195,963 = 195,963/x
  3. Step 3: Cross multiply
    88,172x = 195,963 × 195,963
  4. Step 4: Simplify right side
    88,172x = 38,401,497,369
  5. Step 5: Solve for x
    x = 38,401,497,369/88,172
  6. Step 6: Final answer
    x = 435,529.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.