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Finding the Third Proportional to 57,367 and 123,522

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Solution

The third proportional to 57,367 and 123,522 is: 265,966.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,367 : 123,522 = 123,522 : x
  2. Step 2: Convert to fraction form
    57,367/123,522 = 123,522/x
  3. Step 3: Cross multiply
    57,367x = 123,522 × 123,522
  4. Step 4: Simplify right side
    57,367x = 15,257,684,484
  5. Step 5: Solve for x
    x = 15,257,684,484/57,367
  6. Step 6: Final answer
    x = 265,966.23

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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.