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Finding the Third Proportional to 75,623 and 102,765

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Solution

The third proportional to 75,623 and 102,765 is: 139,648.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,623 : 102,765 = 102,765 : x
  2. Step 2: Convert to fraction form
    75,623/102,765 = 102,765/x
  3. Step 3: Cross multiply
    75,623x = 102,765 × 102,765
  4. Step 4: Simplify right side
    75,623x = 10,560,645,225
  5. Step 5: Solve for x
    x = 10,560,645,225/75,623
  6. Step 6: Final answer
    x = 139,648.59

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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.