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Finding the Third Proportional to 72,903 and 156,983

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Solution

The third proportional to 72,903 and 156,983 is: 338,033.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,903 : 156,983 = 156,983 : x
  2. Step 2: Convert to fraction form
    72,903/156,983 = 156,983/x
  3. Step 3: Cross multiply
    72,903x = 156,983 × 156,983
  4. Step 4: Simplify right side
    72,903x = 24,643,662,289
  5. Step 5: Solve for x
    x = 24,643,662,289/72,903
  6. Step 6: Final answer
    x = 338,033.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.