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Finding the Third Proportional to 37,237 and 81,026

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Solution

The third proportional to 37,237 and 81,026 is: 176,308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,237 : 81,026 = 81,026 : x
  2. Step 2: Convert to fraction form
    37,237/81,026 = 81,026/x
  3. Step 3: Cross multiply
    37,237x = 81,026 × 81,026
  4. Step 4: Simplify right side
    37,237x = 6,565,212,676
  5. Step 5: Solve for x
    x = 6,565,212,676/37,237
  6. Step 6: Final answer
    x = 176,308.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.