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Finding the Third Proportional to 47,417 and 102,186

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Solution

The third proportional to 47,417 and 102,186 is: 220,215.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,417 : 102,186 = 102,186 : x
  2. Step 2: Convert to fraction form
    47,417/102,186 = 102,186/x
  3. Step 3: Cross multiply
    47,417x = 102,186 × 102,186
  4. Step 4: Simplify right side
    47,417x = 10,441,978,596
  5. Step 5: Solve for x
    x = 10,441,978,596/47,417
  6. Step 6: Final answer
    x = 220,215.93

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Why These Related Problems?

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