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Finding the Third Proportional to 84,026 and 126,039

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Solution

The third proportional to 84,026 and 126,039 is: 189,058.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,026 : 126,039 = 126,039 : x
  2. Step 2: Convert to fraction form
    84,026/126,039 = 126,039/x
  3. Step 3: Cross multiply
    84,026x = 126,039 × 126,039
  4. Step 4: Simplify right side
    84,026x = 15,885,829,521
  5. Step 5: Solve for x
    x = 15,885,829,521/84,026
  6. Step 6: Final answer
    x = 189,058.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.