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Finding the Third Proportional to 75,552.75 and 164,227.50

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Solution

The third proportional to 75,552.75 and 164,227.50 is: 356,978.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,552.75 : 164,227.50 = 164,227.50 : x
  2. Step 2: Convert to fraction form
    75,552.75/164,227.50 = 164,227.50/x
  3. Step 3: Cross multiply
    75,552.75x = 164,227.50 × 164,227.50
  4. Step 4: Simplify right side
    75,552.75x = 26,970,671,756.25
  5. Step 5: Solve for x
    x = 26,970,671,756.25/75,552.75
  6. Step 6: Final answer
    x = 356,978.03

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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.