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Finding the Third Proportional to 79,026 and 122,031

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Solution

The third proportional to 79,026 and 122,031 is: 188,438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,026 : 122,031 = 122,031 : x
  2. Step 2: Convert to fraction form
    79,026/122,031 = 122,031/x
  3. Step 3: Cross multiply
    79,026x = 122,031 × 122,031
  4. Step 4: Simplify right side
    79,026x = 14,891,564,961
  5. Step 5: Solve for x
    x = 14,891,564,961/79,026
  6. Step 6: Final answer
    x = 188,438.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.