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Finding the Third Proportional to 37,090.13 and 81,287.44

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Solution

The third proportional to 37,090.13 and 81,287.44 is: 178,151.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,090.13 : 81,287.44 = 81,287.44 : x
  2. Step 2: Convert to fraction form
    37,090.13/81,287.44 = 81,287.44/x
  3. Step 3: Cross multiply
    37,090.13x = 81,287.44 × 81,287.44
  4. Step 4: Simplify right side
    37,090.13x = 6,607,647,495.32
  5. Step 5: Solve for x
    x = 6,607,647,495.32/37,090.13
  6. Step 6: Final answer
    x = 178,151.13

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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.