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Finding the Third Proportional to 75,938 and 164,980

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Solution

The third proportional to 75,938 and 164,980 is: 358,429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,938 : 164,980 = 164,980 : x
  2. Step 2: Convert to fraction form
    75,938/164,980 = 164,980/x
  3. Step 3: Cross multiply
    75,938x = 164,980 × 164,980
  4. Step 4: Simplify right side
    75,938x = 27,218,400,400
  5. Step 5: Solve for x
    x = 27,218,400,400/75,938
  6. Step 6: Final answer
    x = 358,429.25

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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.