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Finding the Third Proportional to 47,029 and 100,529

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Solution

The third proportional to 47,029 and 100,529 is: 214,890.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,029 : 100,529 = 100,529 : x
  2. Step 2: Convert to fraction form
    47,029/100,529 = 100,529/x
  3. Step 3: Cross multiply
    47,029x = 100,529 × 100,529
  4. Step 4: Simplify right side
    47,029x = 10,106,079,841
  5. Step 5: Solve for x
    x = 10,106,079,841/47,029
  6. Step 6: Final answer
    x = 214,890.38

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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.