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Finding the Third Proportional to 75,711 and 164,679

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Solution

The third proportional to 75,711 and 164,679 is: 358,193.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,711 : 164,679 = 164,679 : x
  2. Step 2: Convert to fraction form
    75,711/164,679 = 164,679/x
  3. Step 3: Cross multiply
    75,711x = 164,679 × 164,679
  4. Step 4: Simplify right side
    75,711x = 27,119,173,041
  5. Step 5: Solve for x
    x = 27,119,173,041/75,711
  6. Step 6: Final answer
    x = 358,193.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.