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Finding the Third Proportional to 47,579 and 102,466

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Solution

The third proportional to 47,579 and 102,466 is: 220,670.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,579 : 102,466 = 102,466 : x
  2. Step 2: Convert to fraction form
    47,579/102,466 = 102,466/x
  3. Step 3: Cross multiply
    47,579x = 102,466 × 102,466
  4. Step 4: Simplify right side
    47,579x = 10,499,281,156
  5. Step 5: Solve for x
    x = 10,499,281,156/47,579
  6. Step 6: Final answer
    x = 220,670.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.