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Finding the Third Proportional to 75,755.25 and 164,774.25

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Solution

The third proportional to 75,755.25 and 164,774.25 is: 358,398.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,755.25 : 164,774.25 = 164,774.25 : x
  2. Step 2: Convert to fraction form
    75,755.25/164,774.25 = 164,774.25/x
  3. Step 3: Cross multiply
    75,755.25x = 164,774.25 × 164,774.25
  4. Step 4: Simplify right side
    75,755.25x = 27,150,553,463.06
  5. Step 5: Solve for x
    x = 27,150,553,463.06/75,755.25
  6. Step 6: Final answer
    x = 358,398.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.