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Finding the Third Proportional to 37,137 and 60,964

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Solution

The third proportional to 37,137 and 60,964 is: 100,078.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,137 : 60,964 = 60,964 : x
  2. Step 2: Convert to fraction form
    37,137/60,964 = 60,964/x
  3. Step 3: Cross multiply
    37,137x = 60,964 × 60,964
  4. Step 4: Simplify right side
    37,137x = 3,716,609,296
  5. Step 5: Solve for x
    x = 3,716,609,296/37,137
  6. Step 6: Final answer
    x = 100,078.34

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.