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Finding the Third Proportional to 37,137.75 and 81,293.25

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Solution

The third proportional to 37,137.75 and 81,293.25 is: 177,948.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,137.75 : 81,293.25 = 81,293.25 : x
  2. Step 2: Convert to fraction form
    37,137.75/81,293.25 = 81,293.25/x
  3. Step 3: Cross multiply
    37,137.75x = 81,293.25 × 81,293.25
  4. Step 4: Simplify right side
    37,137.75x = 6,608,592,495.56
  5. Step 5: Solve for x
    x = 6,608,592,495.56/37,137.75
  6. Step 6: Final answer
    x = 177,948.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.