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Finding the Third Proportional to 75,041 and 164,023

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Solution

The third proportional to 75,041 and 164,023 is: 358,517.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,041 : 164,023 = 164,023 : x
  2. Step 2: Convert to fraction form
    75,041/164,023 = 164,023/x
  3. Step 3: Cross multiply
    75,041x = 164,023 × 164,023
  4. Step 4: Simplify right side
    75,041x = 26,903,544,529
  5. Step 5: Solve for x
    x = 26,903,544,529/75,041
  6. Step 6: Final answer
    x = 358,517.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.