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Finding the Third Proportional to 83,441 and 122,018

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Solution

The third proportional to 83,441 and 122,018 is: 178,430.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,441 : 122,018 = 122,018 : x
  2. Step 2: Convert to fraction form
    83,441/122,018 = 122,018/x
  3. Step 3: Cross multiply
    83,441x = 122,018 × 122,018
  4. Step 4: Simplify right side
    83,441x = 14,888,392,324
  5. Step 5: Solve for x
    x = 14,888,392,324/83,441
  6. Step 6: Final answer
    x = 178,430.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.