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Finding the Third Proportional to 56,522 and 122,908

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Solution

The third proportional to 56,522 and 122,908 is: 267,265.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,522 : 122,908 = 122,908 : x
  2. Step 2: Convert to fraction form
    56,522/122,908 = 122,908/x
  3. Step 3: Cross multiply
    56,522x = 122,908 × 122,908
  4. Step 4: Simplify right side
    56,522x = 15,106,376,464
  5. Step 5: Solve for x
    x = 15,106,376,464/56,522
  6. Step 6: Final answer
    x = 267,265.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.