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Finding the Third Proportional to 75,901 and 164,927

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Solution

The third proportional to 75,901 and 164,927 is: 358,373.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,901 : 164,927 = 164,927 : x
  2. Step 2: Convert to fraction form
    75,901/164,927 = 164,927/x
  3. Step 3: Cross multiply
    75,901x = 164,927 × 164,927
  4. Step 4: Simplify right side
    75,901x = 27,200,915,329
  5. Step 5: Solve for x
    x = 27,200,915,329/75,901
  6. Step 6: Final answer
    x = 358,373.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.