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Finding the Third Proportional to 44,065 and 91,094

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Solution

The third proportional to 44,065 and 91,094 is: 188,315.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,065 : 91,094 = 91,094 : x
  2. Step 2: Convert to fraction form
    44,065/91,094 = 91,094/x
  3. Step 3: Cross multiply
    44,065x = 91,094 × 91,094
  4. Step 4: Simplify right side
    44,065x = 8,298,116,836
  5. Step 5: Solve for x
    x = 8,298,116,836/44,065
  6. Step 6: Final answer
    x = 188,315.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.