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Finding the Third Proportional to 47,126 and 102,433

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Solution

The third proportional to 47,126 and 102,433 is: 222,648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,126 : 102,433 = 102,433 : x
  2. Step 2: Convert to fraction form
    47,126/102,433 = 102,433/x
  3. Step 3: Cross multiply
    47,126x = 102,433 × 102,433
  4. Step 4: Simplify right side
    47,126x = 10,492,519,489
  5. Step 5: Solve for x
    x = 10,492,519,489/47,126
  6. Step 6: Final answer
    x = 222,648.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.