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Finding the Third Proportional to 37,148 and 81,664

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Solution

The third proportional to 37,148 and 81,664 is: 179,525.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,148 : 81,664 = 81,664 : x
  2. Step 2: Convert to fraction form
    37,148/81,664 = 81,664/x
  3. Step 3: Cross multiply
    37,148x = 81,664 × 81,664
  4. Step 4: Simplify right side
    37,148x = 6,669,008,896
  5. Step 5: Solve for x
    x = 6,669,008,896/37,148
  6. Step 6: Final answer
    x = 179,525.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.