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Finding the Third Proportional to 90,966 and 140,337

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Solution

The third proportional to 90,966 and 140,337 is: 216,503.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,966 : 140,337 = 140,337 : x
  2. Step 2: Convert to fraction form
    90,966/140,337 = 140,337/x
  3. Step 3: Cross multiply
    90,966x = 140,337 × 140,337
  4. Step 4: Simplify right side
    90,966x = 19,694,473,569
  5. Step 5: Solve for x
    x = 19,694,473,569/90,966
  6. Step 6: Final answer
    x = 216,503.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.