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Finding the Third Proportional to 47,026 and 100,523

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Solution

The third proportional to 47,026 and 100,523 is: 214,878.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,026 : 100,523 = 100,523 : x
  2. Step 2: Convert to fraction form
    47,026/100,523 = 100,523/x
  3. Step 3: Cross multiply
    47,026x = 100,523 × 100,523
  4. Step 4: Simplify right side
    47,026x = 10,104,873,529
  5. Step 5: Solve for x
    x = 10,104,873,529/47,026
  6. Step 6: Final answer
    x = 214,878.44

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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.