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Finding the Third Proportional to 47,154 and 102,611

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Solution

The third proportional to 47,154 and 102,611 is: 223,290.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,154 : 102,611 = 102,611 : x
  2. Step 2: Convert to fraction form
    47,154/102,611 = 102,611/x
  3. Step 3: Cross multiply
    47,154x = 102,611 × 102,611
  4. Step 4: Simplify right side
    47,154x = 10,529,017,321
  5. Step 5: Solve for x
    x = 10,529,017,321/47,154
  6. Step 6: Final answer
    x = 223,290.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.