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Finding the Third Proportional to 91,848 and 140,406

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Solution

The third proportional to 91,848 and 140,406 is: 214,635.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,848 : 140,406 = 140,406 : x
  2. Step 2: Convert to fraction form
    91,848/140,406 = 140,406/x
  3. Step 3: Cross multiply
    91,848x = 140,406 × 140,406
  4. Step 4: Simplify right side
    91,848x = 19,713,844,836
  5. Step 5: Solve for x
    x = 19,713,844,836/91,848
  6. Step 6: Final answer
    x = 214,635.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.