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Finding the Third Proportional to 75,679 and 160,582

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Solution

The third proportional to 75,679 and 160,582 is: 340,736.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,679 : 160,582 = 160,582 : x
  2. Step 2: Convert to fraction form
    75,679/160,582 = 160,582/x
  3. Step 3: Cross multiply
    75,679x = 160,582 × 160,582
  4. Step 4: Simplify right side
    75,679x = 25,786,578,724
  5. Step 5: Solve for x
    x = 25,786,578,724/75,679
  6. Step 6: Final answer
    x = 340,736.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.