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Finding the Third Proportional to 75,569 and 164,986.75

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Solution

The third proportional to 75,569 and 164,986.75 is: 360,208.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,569 : 164,986.75 = 164,986.75 : x
  2. Step 2: Convert to fraction form
    75,569/164,986.75 = 164,986.75/x
  3. Step 3: Cross multiply
    75,569x = 164,986.75 × 164,986.75
  4. Step 4: Simplify right side
    75,569x = 27,220,627,675.56
  5. Step 5: Solve for x
    x = 27,220,627,675.56/75,569
  6. Step 6: Final answer
    x = 360,208.92

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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.