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Finding the Third Proportional to 75,244 and 177,613

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Solution

The third proportional to 75,244 and 177,613 is: 419,254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,244 : 177,613 = 177,613 : x
  2. Step 2: Convert to fraction form
    75,244/177,613 = 177,613/x
  3. Step 3: Cross multiply
    75,244x = 177,613 × 177,613
  4. Step 4: Simplify right side
    75,244x = 31,546,377,769
  5. Step 5: Solve for x
    x = 31,546,377,769/75,244
  6. Step 6: Final answer
    x = 419,254.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.