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Finding the Third Proportional to 75,356 and 102,622

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Solution

The third proportional to 75,356 and 102,622 is: 139,753.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,356 : 102,622 = 102,622 : x
  2. Step 2: Convert to fraction form
    75,356/102,622 = 102,622/x
  3. Step 3: Cross multiply
    75,356x = 102,622 × 102,622
  4. Step 4: Simplify right side
    75,356x = 10,531,274,884
  5. Step 5: Solve for x
    x = 10,531,274,884/75,356
  6. Step 6: Final answer
    x = 139,753.63

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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.