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Finding the Third Proportional to 75,569.25 and 164,987.25

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Solution

The third proportional to 75,569.25 and 164,987.25 is: 360,209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,569.25 : 164,987.25 = 164,987.25 : x
  2. Step 2: Convert to fraction form
    75,569.25/164,987.25 = 164,987.25/x
  3. Step 3: Cross multiply
    75,569.25x = 164,987.25 × 164,987.25
  4. Step 4: Simplify right side
    75,569.25x = 27,220,792,662.56
  5. Step 5: Solve for x
    x = 27,220,792,662.56/75,569.25
  6. Step 6: Final answer
    x = 360,209.91

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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.