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Finding the Third Proportional to 75,894 and 164,909

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Solution

The third proportional to 75,894 and 164,909 is: 358,328.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,894 : 164,909 = 164,909 : x
  2. Step 2: Convert to fraction form
    75,894/164,909 = 164,909/x
  3. Step 3: Cross multiply
    75,894x = 164,909 × 164,909
  4. Step 4: Simplify right side
    75,894x = 27,194,978,281
  5. Step 5: Solve for x
    x = 27,194,978,281/75,894
  6. Step 6: Final answer
    x = 358,328.44

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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.