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Finding the Third Proportional to 47,025 and 100,611

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Solution

The third proportional to 47,025 and 100,611 is: 215,259.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,025 : 100,611 = 100,611 : x
  2. Step 2: Convert to fraction form
    47,025/100,611 = 100,611/x
  3. Step 3: Cross multiply
    47,025x = 100,611 × 100,611
  4. Step 4: Simplify right side
    47,025x = 10,122,573,321
  5. Step 5: Solve for x
    x = 10,122,573,321/47,025
  6. Step 6: Final answer
    x = 215,259.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.