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Finding the Third Proportional to 99,972 and 212,652

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Solution

The third proportional to 99,972 and 212,652 is: 452,335.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,972 : 212,652 = 212,652 : x
  2. Step 2: Convert to fraction form
    99,972/212,652 = 212,652/x
  3. Step 3: Cross multiply
    99,972x = 212,652 × 212,652
  4. Step 4: Simplify right side
    99,972x = 45,220,873,104
  5. Step 5: Solve for x
    x = 45,220,873,104/99,972
  6. Step 6: Final answer
    x = 452,335.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.