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Finding the Third Proportional to 47,096 and 102,292

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Solution

The third proportional to 47,096 and 102,292 is: 222,177.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,096 : 102,292 = 102,292 : x
  2. Step 2: Convert to fraction form
    47,096/102,292 = 102,292/x
  3. Step 3: Cross multiply
    47,096x = 102,292 × 102,292
  4. Step 4: Simplify right side
    47,096x = 10,463,653,264
  5. Step 5: Solve for x
    x = 10,463,653,264/47,096
  6. Step 6: Final answer
    x = 222,177.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.