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Finding the Third Proportional to 37,403 and 81,163.75

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Solution

The third proportional to 37,403 and 81,163.75 is: 176,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,403 : 81,163.75 = 81,163.75 : x
  2. Step 2: Convert to fraction form
    37,403/81,163.75 = 81,163.75/x
  3. Step 3: Cross multiply
    37,403x = 81,163.75 × 81,163.75
  4. Step 4: Simplify right side
    37,403x = 6,587,554,314.06
  5. Step 5: Solve for x
    x = 6,587,554,314.06/37,403
  6. Step 6: Final answer
    x = 176,123.69

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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.