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Finding the Third Proportional to 75,268 and 102,522

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Solution

The third proportional to 75,268 and 102,522 is: 139,644.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,268 : 102,522 = 102,522 : x
  2. Step 2: Convert to fraction form
    75,268/102,522 = 102,522/x
  3. Step 3: Cross multiply
    75,268x = 102,522 × 102,522
  4. Step 4: Simplify right side
    75,268x = 10,510,760,484
  5. Step 5: Solve for x
    x = 10,510,760,484/75,268
  6. Step 6: Final answer
    x = 139,644.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.