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Finding the Third Proportional to 47,213 and 102,170

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Solution

The third proportional to 47,213 and 102,170 is: 221,098.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,213 : 102,170 = 102,170 : x
  2. Step 2: Convert to fraction form
    47,213/102,170 = 102,170/x
  3. Step 3: Cross multiply
    47,213x = 102,170 × 102,170
  4. Step 4: Simplify right side
    47,213x = 10,438,708,900
  5. Step 5: Solve for x
    x = 10,438,708,900/47,213
  6. Step 6: Final answer
    x = 221,098.19

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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.