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Finding the Third Proportional to 72,171 and 113,373

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Solution

The third proportional to 72,171 and 113,373 is: 178,096.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,171 : 113,373 = 113,373 : x
  2. Step 2: Convert to fraction form
    72,171/113,373 = 113,373/x
  3. Step 3: Cross multiply
    72,171x = 113,373 × 113,373
  4. Step 4: Simplify right side
    72,171x = 12,853,437,129
  5. Step 5: Solve for x
    x = 12,853,437,129/72,171
  6. Step 6: Final answer
    x = 178,096.98

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.