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Finding the Third Proportional to 105,180.75 and 163,172.25

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Solution

The third proportional to 105,180.75 and 163,172.25 is: 253,137.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,180.75 : 163,172.25 = 163,172.25 : x
  2. Step 2: Convert to fraction form
    105,180.75/163,172.25 = 163,172.25/x
  3. Step 3: Cross multiply
    105,180.75x = 163,172.25 × 163,172.25
  4. Step 4: Simplify right side
    105,180.75x = 26,625,183,170.06
  5. Step 5: Solve for x
    x = 26,625,183,170.06/105,180.75
  6. Step 6: Final answer
    x = 253,137.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.