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Finding the Third Proportional to 47,160 and 101,936

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Solution

The third proportional to 47,160 and 101,936 is: 220,333.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,160 : 101,936 = 101,936 : x
  2. Step 2: Convert to fraction form
    47,160/101,936 = 101,936/x
  3. Step 3: Cross multiply
    47,160x = 101,936 × 101,936
  4. Step 4: Simplify right side
    47,160x = 10,390,948,096
  5. Step 5: Solve for x
    x = 10,390,948,096/47,160
  6. Step 6: Final answer
    x = 220,333.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.