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Finding the Third Proportional to 75,716 and 164,689

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Solution

The third proportional to 75,716 and 164,689 is: 358,213.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,716 : 164,689 = 164,689 : x
  2. Step 2: Convert to fraction form
    75,716/164,689 = 164,689/x
  3. Step 3: Cross multiply
    75,716x = 164,689 × 164,689
  4. Step 4: Simplify right side
    75,716x = 27,122,466,721
  5. Step 5: Solve for x
    x = 27,122,466,721/75,716
  6. Step 6: Final answer
    x = 358,213.15

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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.