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Finding the Third Proportional to 57,671 and 123,964

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Solution

The third proportional to 57,671 and 123,964 is: 266,461.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,671 : 123,964 = 123,964 : x
  2. Step 2: Convert to fraction form
    57,671/123,964 = 123,964/x
  3. Step 3: Cross multiply
    57,671x = 123,964 × 123,964
  4. Step 4: Simplify right side
    57,671x = 15,367,073,296
  5. Step 5: Solve for x
    x = 15,367,073,296/57,671
  6. Step 6: Final answer
    x = 266,461.02

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