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Finding the Third Proportional to 75,952.69 and 164,845.13

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Solution

The third proportional to 75,952.69 and 164,845.13 is: 357,774.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,952.69 : 164,845.13 = 164,845.13 : x
  2. Step 2: Convert to fraction form
    75,952.69/164,845.13 = 164,845.13/x
  3. Step 3: Cross multiply
    75,952.69x = 164,845.13 × 164,845.13
  4. Step 4: Simplify right side
    75,952.69x = 27,173,915,236.27
  5. Step 5: Solve for x
    x = 27,173,915,236.27/75,952.69
  6. Step 6: Final answer
    x = 357,774.24

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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.