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Finding the Third Proportional to 89,018 and 125,211

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Solution

The third proportional to 89,018 and 125,211 is: 176,119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,018 : 125,211 = 125,211 : x
  2. Step 2: Convert to fraction form
    89,018/125,211 = 125,211/x
  3. Step 3: Cross multiply
    89,018x = 125,211 × 125,211
  4. Step 4: Simplify right side
    89,018x = 15,677,794,521
  5. Step 5: Solve for x
    x = 15,677,794,521/89,018
  6. Step 6: Final answer
    x = 176,119.37

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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.