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Finding the Third Proportional to 66,546 and 91,179

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Solution

The third proportional to 66,546 and 91,179 is: 124,930.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,546 : 91,179 = 91,179 : x
  2. Step 2: Convert to fraction form
    66,546/91,179 = 91,179/x
  3. Step 3: Cross multiply
    66,546x = 91,179 × 91,179
  4. Step 4: Simplify right side
    66,546x = 8,313,610,041
  5. Step 5: Solve for x
    x = 8,313,610,041/66,546
  6. Step 6: Final answer
    x = 124,930.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.