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Finding the Third Proportional to 47,134 and 101,015

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Solution

The third proportional to 47,134 and 101,015 is: 216,489.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,134 : 101,015 = 101,015 : x
  2. Step 2: Convert to fraction form
    47,134/101,015 = 101,015/x
  3. Step 3: Cross multiply
    47,134x = 101,015 × 101,015
  4. Step 4: Simplify right side
    47,134x = 10,204,030,225
  5. Step 5: Solve for x
    x = 10,204,030,225/47,134
  6. Step 6: Final answer
    x = 216,489.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.