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Finding the Third Proportional to 75,723 and 106,179

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Solution

The third proportional to 75,723 and 106,179 is: 148,884.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,723 : 106,179 = 106,179 : x
  2. Step 2: Convert to fraction form
    75,723/106,179 = 106,179/x
  3. Step 3: Cross multiply
    75,723x = 106,179 × 106,179
  4. Step 4: Simplify right side
    75,723x = 11,273,980,041
  5. Step 5: Solve for x
    x = 11,273,980,041/75,723
  6. Step 6: Final answer
    x = 148,884.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.