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Finding the Third Proportional to 38,903 and 85,336

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Solution

The third proportional to 38,903 and 85,336 is: 187,189.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,903 : 85,336 = 85,336 : x
  2. Step 2: Convert to fraction form
    38,903/85,336 = 85,336/x
  3. Step 3: Cross multiply
    38,903x = 85,336 × 85,336
  4. Step 4: Simplify right side
    38,903x = 7,282,232,896
  5. Step 5: Solve for x
    x = 7,282,232,896/38,903
  6. Step 6: Final answer
    x = 187,189.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.