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Finding the Third Proportional to 47,051 and 100,579

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Solution

The third proportional to 47,051 and 100,579 is: 215,003.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,051 : 100,579 = 100,579 : x
  2. Step 2: Convert to fraction form
    47,051/100,579 = 100,579/x
  3. Step 3: Cross multiply
    47,051x = 100,579 × 100,579
  4. Step 4: Simplify right side
    47,051x = 10,116,135,241
  5. Step 5: Solve for x
    x = 10,116,135,241/47,051
  6. Step 6: Final answer
    x = 215,003.62

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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.