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Finding the Third Proportional to 88,966 and 193,420

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Solution

The third proportional to 88,966 and 193,420 is: 420,512.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,966 : 193,420 = 193,420 : x
  2. Step 2: Convert to fraction form
    88,966/193,420 = 193,420/x
  3. Step 3: Cross multiply
    88,966x = 193,420 × 193,420
  4. Step 4: Simplify right side
    88,966x = 37,411,296,400
  5. Step 5: Solve for x
    x = 37,411,296,400/88,966
  6. Step 6: Final answer
    x = 420,512.29

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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.