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Finding the Third Proportional to 36,964 and 76,104

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Solution

The third proportional to 36,964 and 76,104 is: 156,688.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,964 : 76,104 = 76,104 : x
  2. Step 2: Convert to fraction form
    36,964/76,104 = 76,104/x
  3. Step 3: Cross multiply
    36,964x = 76,104 × 76,104
  4. Step 4: Simplify right side
    36,964x = 5,791,818,816
  5. Step 5: Solve for x
    x = 5,791,818,816/36,964
  6. Step 6: Final answer
    x = 156,688.10

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.