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Finding the Third Proportional to 91,903 and 140,558

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Solution

The third proportional to 91,903 and 140,558 is: 214,971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,903 : 140,558 = 140,558 : x
  2. Step 2: Convert to fraction form
    91,903/140,558 = 140,558/x
  3. Step 3: Cross multiply
    91,903x = 140,558 × 140,558
  4. Step 4: Simplify right side
    91,903x = 19,756,551,364
  5. Step 5: Solve for x
    x = 19,756,551,364/91,903
  6. Step 6: Final answer
    x = 214,971.78

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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.