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Finding the Third Proportional to 57,539 and 123,073

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Solution

The third proportional to 57,539 and 123,073 is: 263,246.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,539 : 123,073 = 123,073 : x
  2. Step 2: Convert to fraction form
    57,539/123,073 = 123,073/x
  3. Step 3: Cross multiply
    57,539x = 123,073 × 123,073
  4. Step 4: Simplify right side
    57,539x = 15,146,963,329
  5. Step 5: Solve for x
    x = 15,146,963,329/57,539
  6. Step 6: Final answer
    x = 263,246.90

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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.