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Finding the Third Proportional to 76,018 and 106,929

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Solution

The third proportional to 76,018 and 106,929 is: 150,409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,018 : 106,929 = 106,929 : x
  2. Step 2: Convert to fraction form
    76,018/106,929 = 106,929/x
  3. Step 3: Cross multiply
    76,018x = 106,929 × 106,929
  4. Step 4: Simplify right side
    76,018x = 11,433,811,041
  5. Step 5: Solve for x
    x = 11,433,811,041/76,018
  6. Step 6: Final answer
    x = 150,409.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.