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Finding the Third Proportional to 37,377 and 81,762.75

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Solution

The third proportional to 37,377 and 81,762.75 is: 178,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,377 : 81,762.75 = 81,762.75 : x
  2. Step 2: Convert to fraction form
    37,377/81,762.75 = 81,762.75/x
  3. Step 3: Cross multiply
    37,377x = 81,762.75 × 81,762.75
  4. Step 4: Simplify right side
    37,377x = 6,685,147,287.56
  5. Step 5: Solve for x
    x = 6,685,147,287.56/37,377
  6. Step 6: Final answer
    x = 178,857.25

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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.