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Finding the Third Proportional to 94,392 and 209,762

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Solution

The third proportional to 94,392 and 209,762 is: 466,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,392 : 209,762 = 209,762 : x
  2. Step 2: Convert to fraction form
    94,392/209,762 = 209,762/x
  3. Step 3: Cross multiply
    94,392x = 209,762 × 209,762
  4. Step 4: Simplify right side
    94,392x = 44,000,096,644
  5. Step 5: Solve for x
    x = 44,000,096,644/94,392
  6. Step 6: Final answer
    x = 466,142.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.