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Finding the Third Proportional to 75,747 and 164,795

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Solution

The third proportional to 75,747 and 164,795 is: 358,527.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,747 : 164,795 = 164,795 : x
  2. Step 2: Convert to fraction form
    75,747/164,795 = 164,795/x
  3. Step 3: Cross multiply
    75,747x = 164,795 × 164,795
  4. Step 4: Simplify right side
    75,747x = 27,157,392,025
  5. Step 5: Solve for x
    x = 27,157,392,025/75,747
  6. Step 6: Final answer
    x = 358,527.63

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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.