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Finding the Third Proportional to 37,407 and 81,173

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Solution

The third proportional to 37,407 and 81,173 is: 176,145.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,407 : 81,173 = 81,173 : x
  2. Step 2: Convert to fraction form
    37,407/81,173 = 81,173/x
  3. Step 3: Cross multiply
    37,407x = 81,173 × 81,173
  4. Step 4: Simplify right side
    37,407x = 6,589,055,929
  5. Step 5: Solve for x
    x = 6,589,055,929/37,407
  6. Step 6: Final answer
    x = 176,145.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.